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Finding the Fourth Proportional to 916.76, 1,374.16 and 429.40

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Solution

The fourth proportional to 916.76, 1,374.16 and 429.40 is: 643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.76 : 1,374.16 = 429.40 : x
  2. Step 2: Convert to fraction form
    916.76/1,374.16 = 429.40/x
  3. Step 3: Cross multiply
    916.76x = 1,374.16 × 429.40
  4. Step 4: Simplify right side
    916.76x = 590,064.30
  5. Step 5: Solve for x
    x = 590,064.30/916.76
  6. Step 6: Final answer
    x = 643.64

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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.