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Finding the Fourth Proportional to 659.04, 983.76 and 616.32

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Solution

The fourth proportional to 659.04, 983.76 and 616.32 is: 919.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.04 : 983.76 = 616.32 : x
  2. Step 2: Convert to fraction form
    659.04/983.76 = 616.32/x
  3. Step 3: Cross multiply
    659.04x = 983.76 × 616.32
  4. Step 4: Simplify right side
    659.04x = 606,310.96
  5. Step 5: Solve for x
    x = 606,310.96/659.04
  6. Step 6: Final answer
    x = 919.99

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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.