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Finding the Fourth Proportional to 610.30, 916.08 and 464.50

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Solution

The fourth proportional to 610.30, 916.08 and 464.50 is: 697.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.30 : 916.08 = 464.50 : x
  2. Step 2: Convert to fraction form
    610.30/916.08 = 464.50/x
  3. Step 3: Cross multiply
    610.30x = 916.08 × 464.50
  4. Step 4: Simplify right side
    610.30x = 425,519.16
  5. Step 5: Solve for x
    x = 425,519.16/610.30
  6. Step 6: Final answer
    x = 697.23

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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.