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Finding the Fourth Proportional to 532.51, 800.16 and 464.20

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Solution

The fourth proportional to 532.51, 800.16 and 464.20 is: 697.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.51 : 800.16 = 464.20 : x
  2. Step 2: Convert to fraction form
    532.51/800.16 = 464.20/x
  3. Step 3: Cross multiply
    532.51x = 800.16 × 464.20
  4. Step 4: Simplify right side
    532.51x = 371,434.27
  5. Step 5: Solve for x
    x = 371,434.27/532.51
  6. Step 6: Final answer
    x = 697.52

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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.