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Finding the Fourth Proportional to 917.43, 1,266.05 and 497.78

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Solution

The fourth proportional to 917.43, 1,266.05 and 497.78 is: 686.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.43 : 1,266.05 = 497.78 : x
  2. Step 2: Convert to fraction form
    917.43/1,266.05 = 497.78/x
  3. Step 3: Cross multiply
    917.43x = 1,266.05 × 497.78
  4. Step 4: Simplify right side
    917.43x = 630,214.03
  5. Step 5: Solve for x
    x = 630,214.03/917.43
  6. Step 6: Final answer
    x = 686.94

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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.