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Finding the Fourth Proportional to 917.90, 1,375.02 and 429.47

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Solution

The fourth proportional to 917.90, 1,375.02 and 429.47 is: 643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.90 : 1,375.02 = 429.47 : x
  2. Step 2: Convert to fraction form
    917.90/1,375.02 = 429.47/x
  3. Step 3: Cross multiply
    917.90x = 1,375.02 × 429.47
  4. Step 4: Simplify right side
    917.90x = 590,522.96
  5. Step 5: Solve for x
    x = 590,522.96/917.90
  6. Step 6: Final answer
    x = 643.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.