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Finding the Fourth Proportional to 532.77, 798.35 and 503.15

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Solution

The fourth proportional to 532.77, 798.35 and 503.15 is: 753.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.77 : 798.35 = 503.15 : x
  2. Step 2: Convert to fraction form
    532.77/798.35 = 503.15/x
  3. Step 3: Cross multiply
    532.77x = 798.35 × 503.15
  4. Step 4: Simplify right side
    532.77x = 401,689.80
  5. Step 5: Solve for x
    x = 401,689.80/532.77
  6. Step 6: Final answer
    x = 753.96

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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.