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Finding the Fourth Proportional to 532.25, 797.50 and 512.00

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Solution

The fourth proportional to 532.25, 797.50 and 512.00 is: 767.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.25 : 797.50 = 512.00 : x
  2. Step 2: Convert to fraction form
    532.25/797.50 = 512.00/x
  3. Step 3: Cross multiply
    532.25x = 797.50 × 512.00
  4. Step 4: Simplify right side
    532.25x = 408,316.76
  5. Step 5: Solve for x
    x = 408,316.76/532.25
  6. Step 6: Final answer
    x = 767.15

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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.