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Finding the Fourth Proportional to 524.30, 720.27 and 430.74

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Solution

The fourth proportional to 524.30, 720.27 and 430.74 is: 591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.30 : 720.27 = 430.74 : x
  2. Step 2: Convert to fraction form
    524.30/720.27 = 430.74/x
  3. Step 3: Cross multiply
    524.30x = 720.27 × 430.74
  4. Step 4: Simplify right side
    524.30x = 310,249.10
  5. Step 5: Solve for x
    x = 310,249.10/524.30
  6. Step 6: Final answer
    x = 591.75

Related Problems

Find fourth proportional to 262.15, 360.14 and 215.37
Half scale
Find fourth proportional to 1,048.59, 1,440.54 and 861.48
Double scale
Find fourth proportional to 525.30, 721.64 and 431.74
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.