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Finding the Fourth Proportional to 624.30, 934.60 and 462.71

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Solution

The fourth proportional to 624.30, 934.60 and 462.71 is: 692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.30 : 934.60 = 462.71 : x
  2. Step 2: Convert to fraction form
    624.30/934.60 = 462.71/x
  3. Step 3: Cross multiply
    624.30x = 934.60 × 462.71
  4. Step 4: Simplify right side
    624.30x = 432,448.77
  5. Step 5: Solve for x
    x = 432,448.77/624.30
  6. Step 6: Final answer
    x = 692.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.