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Finding the Fourth Proportional to 523.34, 722.30 and 398.77

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Solution

The fourth proportional to 523.34, 722.30 and 398.77 is: 550.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.34 : 722.30 = 398.77 : x
  2. Step 2: Convert to fraction form
    523.34/722.30 = 398.77/x
  3. Step 3: Cross multiply
    523.34x = 722.30 × 398.77
  4. Step 4: Simplify right side
    523.34x = 288,030.76
  5. Step 5: Solve for x
    x = 288,030.76/523.34
  6. Step 6: Final answer
    x = 550.37

Related Problems

Find fourth proportional to 261.67, 361.15 and 199.38
Half scale
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Double scale
Find fourth proportional to 524.34, 723.68 and 399.77
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.