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Finding the Fourth Proportional to 767.76, 1,060 and 502.48

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Solution

The fourth proportional to 767.76, 1,060 and 502.48 is: 693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.76 : 1,060 = 502.48 : x
  2. Step 2: Convert to fraction form
    767.76/1,060 = 502.48/x
  3. Step 3: Cross multiply
    767.76x = 1,060 × 502.48
  4. Step 4: Simplify right side
    767.76x = 532,628.80
  5. Step 5: Solve for x
    x = 532,628.80/767.76
  6. Step 6: Final answer
    x = 693.74

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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.