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Finding the Fourth Proportional to 647.78, 966.96 and 557.06

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Solution

The fourth proportional to 647.78, 966.96 and 557.06 is: 831.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.78 : 966.96 = 557.06 : x
  2. Step 2: Convert to fraction form
    647.78/966.96 = 557.06/x
  3. Step 3: Cross multiply
    647.78x = 966.96 × 557.06
  4. Step 4: Simplify right side
    647.78x = 538,654.74
  5. Step 5: Solve for x
    x = 538,654.74/647.78
  6. Step 6: Final answer
    x = 831.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.