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Finding the Fourth Proportional to 917.91, 1,266.68 and 498.25

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Solution

The fourth proportional to 917.91, 1,266.68 and 498.25 is: 687.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.91 : 1,266.68 = 498.25 : x
  2. Step 2: Convert to fraction form
    917.91/1,266.68 = 498.25/x
  3. Step 3: Cross multiply
    917.91x = 1,266.68 × 498.25
  4. Step 4: Simplify right side
    917.91x = 631,123.31
  5. Step 5: Solve for x
    x = 631,123.31/917.91
  6. Step 6: Final answer
    x = 687.57

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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.