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Finding the Fourth Proportional to 916.87, 1,374.69 and 430.06

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Solution

The fourth proportional to 916.87, 1,374.69 and 430.06 is: 644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.87 : 1,374.69 = 430.06 : x
  2. Step 2: Convert to fraction form
    916.87/1,374.69 = 430.06/x
  3. Step 3: Cross multiply
    916.87x = 1,374.69 × 430.06
  4. Step 4: Simplify right side
    916.87x = 591,195.74
  5. Step 5: Solve for x
    x = 591,195.74/916.87
  6. Step 6: Final answer
    x = 644.80

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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.