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Finding the Fourth Proportional to 730.04, 1,006.68 and 520.24

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Solution

The fourth proportional to 730.04, 1,006.68 and 520.24 is: 717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.04 : 1,006.68 = 520.24 : x
  2. Step 2: Convert to fraction form
    730.04/1,006.68 = 520.24/x
  3. Step 3: Cross multiply
    730.04x = 1,006.68 × 520.24
  4. Step 4: Simplify right side
    730.04x = 523,715.20
  5. Step 5: Solve for x
    x = 523,715.20/730.04
  6. Step 6: Final answer
    x = 717.38

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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.