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Finding the Fourth Proportional to 916.50, 1,374.81 and 429.42

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Solution

The fourth proportional to 916.50, 1,374.81 and 429.42 is: 644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.50 : 1,374.81 = 429.42 : x
  2. Step 2: Convert to fraction form
    916.50/1,374.81 = 429.42/x
  3. Step 3: Cross multiply
    916.50x = 1,374.81 × 429.42
  4. Step 4: Simplify right side
    916.50x = 590,370.91
  5. Step 5: Solve for x
    x = 590,370.91/916.50
  6. Step 6: Final answer
    x = 644.16

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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.