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Finding the Fourth Proportional to 916.47, 1,374.71 and 429.86

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Solution

The fourth proportional to 916.47, 1,374.71 and 429.86 is: 644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.47 : 1,374.71 = 429.86 : x
  2. Step 2: Convert to fraction form
    916.47/1,374.71 = 429.86/x
  3. Step 3: Cross multiply
    916.47x = 1,374.71 × 429.86
  4. Step 4: Simplify right side
    916.47x = 590,923.82
  5. Step 5: Solve for x
    x = 590,923.82/916.47
  6. Step 6: Final answer
    x = 644.78

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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.