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Finding the Fourth Proportional to 532.08, 730.80 and 473.76

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Solution

The fourth proportional to 532.08, 730.80 and 473.76 is: 650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.08 : 730.80 = 473.76 : x
  2. Step 2: Convert to fraction form
    532.08/730.80 = 473.76/x
  3. Step 3: Cross multiply
    532.08x = 730.80 × 473.76
  4. Step 4: Simplify right side
    532.08x = 346,223.81
  5. Step 5: Solve for x
    x = 346,223.81/532.08
  6. Step 6: Final answer
    x = 650.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.