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Finding the Fourth Proportional to 647.11, 964.13 and 616.15

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Solution

The fourth proportional to 647.11, 964.13 and 616.15 is: 918.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.11 : 964.13 = 616.15 : x
  2. Step 2: Convert to fraction form
    647.11/964.13 = 616.15/x
  3. Step 3: Cross multiply
    647.11x = 964.13 × 616.15
  4. Step 4: Simplify right side
    647.11x = 594,048.70
  5. Step 5: Solve for x
    x = 594,048.70/647.11
  6. Step 6: Final answer
    x = 918.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.