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Finding the Fourth Proportional to 917.01, 1,264.90 and 602.29

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Solution

The fourth proportional to 917.01, 1,264.90 and 602.29 is: 830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.01 : 1,264.90 = 602.29 : x
  2. Step 2: Convert to fraction form
    917.01/1,264.90 = 602.29/x
  3. Step 3: Cross multiply
    917.01x = 1,264.90 × 602.29
  4. Step 4: Simplify right side
    917.01x = 761,836.62
  5. Step 5: Solve for x
    x = 761,836.62/917.01
  6. Step 6: Final answer
    x = 830.78

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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.