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Finding the Fourth Proportional to 916.98, 1,265.10 and 544.08

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Solution

The fourth proportional to 916.98, 1,265.10 and 544.08 is: 750.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.98 : 1,265.10 = 544.08 : x
  2. Step 2: Convert to fraction form
    916.98/1,265.10 = 544.08/x
  3. Step 3: Cross multiply
    916.98x = 1,265.10 × 544.08
  4. Step 4: Simplify right side
    916.98x = 688,315.61
  5. Step 5: Solve for x
    x = 688,315.61/916.98
  6. Step 6: Final answer
    x = 750.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.