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Finding the Fourth Proportional to 916.28, 1,374.62 and 429.06

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Solution

The fourth proportional to 916.28, 1,374.62 and 429.06 is: 643.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.28 : 1,374.62 = 429.06 : x
  2. Step 2: Convert to fraction form
    916.28/1,374.62 = 429.06/x
  3. Step 3: Cross multiply
    916.28x = 1,374.62 × 429.06
  4. Step 4: Simplify right side
    916.28x = 589,798.97
  5. Step 5: Solve for x
    x = 589,798.97/916.28
  6. Step 6: Final answer
    x = 643.69

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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.