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Finding the Fourth Proportional to 610.98, 916.57 and 601.12

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Solution

The fourth proportional to 610.98, 916.57 and 601.12 is: 901.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.98 : 916.57 = 601.12 : x
  2. Step 2: Convert to fraction form
    610.98/916.57 = 601.12/x
  3. Step 3: Cross multiply
    610.98x = 916.57 × 601.12
  4. Step 4: Simplify right side
    610.98x = 550,967.07
  5. Step 5: Solve for x
    x = 550,967.07/610.98
  6. Step 6: Final answer
    x = 901.78

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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.