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Finding the Fourth Proportional to 916.45, 1,374.02 and 429.24

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Solution

The fourth proportional to 916.45, 1,374.02 and 429.24 is: 643.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.45 : 1,374.02 = 429.24 : x
  2. Step 2: Convert to fraction form
    916.45/1,374.02 = 429.24/x
  3. Step 3: Cross multiply
    916.45x = 1,374.02 × 429.24
  4. Step 4: Simplify right side
    916.45x = 589,784.34
  5. Step 5: Solve for x
    x = 589,784.34/916.45
  6. Step 6: Final answer
    x = 643.55

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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.