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Finding the Fourth Proportional to 616.80, 852.30 and 460.07

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Solution

The fourth proportional to 616.80, 852.30 and 460.07 is: 635.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.80 : 852.30 = 460.07 : x
  2. Step 2: Convert to fraction form
    616.80/852.30 = 460.07/x
  3. Step 3: Cross multiply
    616.80x = 852.30 × 460.07
  4. Step 4: Simplify right side
    616.80x = 392,113.40
  5. Step 5: Solve for x
    x = 392,113.40/616.80
  6. Step 6: Final answer
    x = 635.72

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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.