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Finding the Fourth Proportional to 916.48, 1,375.62 and 429.76

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Solution

The fourth proportional to 916.48, 1,375.62 and 429.76 is: 645.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.48 : 1,375.62 = 429.76 : x
  2. Step 2: Convert to fraction form
    916.48/1,375.62 = 429.76/x
  3. Step 3: Cross multiply
    916.48x = 1,375.62 × 429.76
  4. Step 4: Simplify right side
    916.48x = 591,186.45
  5. Step 5: Solve for x
    x = 591,186.45/916.48
  6. Step 6: Final answer
    x = 645.06

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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.