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Finding the Fourth Proportional to 610.70, 916.51 and 525.02

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Solution

The fourth proportional to 610.70, 916.51 and 525.02 is: 787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.70 : 916.51 = 525.02 : x
  2. Step 2: Convert to fraction form
    610.70/916.51 = 525.02/x
  3. Step 3: Cross multiply
    610.70x = 916.51 × 525.02
  4. Step 4: Simplify right side
    610.70x = 481,186.08
  5. Step 5: Solve for x
    x = 481,186.08/610.70
  6. Step 6: Final answer
    x = 787.93

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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.