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Finding the Fourth Proportional to 964.18, 1,329.93 and 615.30

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Solution

The fourth proportional to 964.18, 1,329.93 and 615.30 is: 848.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.18 : 1,329.93 = 615.30 : x
  2. Step 2: Convert to fraction form
    964.18/1,329.93 = 615.30/x
  3. Step 3: Cross multiply
    964.18x = 1,329.93 × 615.30
  4. Step 4: Simplify right side
    964.18x = 818,305.93
  5. Step 5: Solve for x
    x = 818,305.93/964.18
  6. Step 6: Final answer
    x = 848.71

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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.