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Finding the Fourth Proportional to 777.48, 1,072.63 and 497.87

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Solution

The fourth proportional to 777.48, 1,072.63 and 497.87 is: 686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.48 : 1,072.63 = 497.87 : x
  2. Step 2: Convert to fraction form
    777.48/1,072.63 = 497.87/x
  3. Step 3: Cross multiply
    777.48x = 1,072.63 × 497.87
  4. Step 4: Simplify right side
    777.48x = 534,030.30
  5. Step 5: Solve for x
    x = 534,030.30/777.48
  6. Step 6: Final answer
    x = 686.87

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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.