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Finding the Fourth Proportional to 916.69, 1,374.38 and 429.47

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Solution

The fourth proportional to 916.69, 1,374.38 and 429.47 is: 643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.69 : 1,374.38 = 429.47 : x
  2. Step 2: Convert to fraction form
    916.69/1,374.38 = 429.47/x
  3. Step 3: Cross multiply
    916.69x = 1,374.38 × 429.47
  4. Step 4: Simplify right side
    916.69x = 590,257.34
  5. Step 5: Solve for x
    x = 590,257.34/916.69
  6. Step 6: Final answer
    x = 643.90

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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.