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Finding the Fourth Proportional to 520.14, 721.52 and 492.46

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Solution

The fourth proportional to 520.14, 721.52 and 492.46 is: 683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.14 : 721.52 = 492.46 : x
  2. Step 2: Convert to fraction form
    520.14/721.52 = 492.46/x
  3. Step 3: Cross multiply
    520.14x = 721.52 × 492.46
  4. Step 4: Simplify right side
    520.14x = 355,319.74
  5. Step 5: Solve for x
    x = 355,319.74/520.14
  6. Step 6: Final answer
    x = 683.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.