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Finding the Fourth Proportional to 525.57, 723.22 and 430.19

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Solution

The fourth proportional to 525.57, 723.22 and 430.19 is: 591.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.57 : 723.22 = 430.19 : x
  2. Step 2: Convert to fraction form
    525.57/723.22 = 430.19/x
  3. Step 3: Cross multiply
    525.57x = 723.22 × 430.19
  4. Step 4: Simplify right side
    525.57x = 311,122.01
  5. Step 5: Solve for x
    x = 311,122.01/525.57
  6. Step 6: Final answer
    x = 591.97

Related Problems

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Half scale
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Double scale
Find fourth proportional to 526.57, 724.60 and 431.19
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.