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Finding the Fourth Proportional to 964.53, 1,440.93 and 615.08

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Solution

The fourth proportional to 964.53, 1,440.93 and 615.08 is: 918.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.53 : 1,440.93 = 615.08 : x
  2. Step 2: Convert to fraction form
    964.53/1,440.93 = 615.08/x
  3. Step 3: Cross multiply
    964.53x = 1,440.93 × 615.08
  4. Step 4: Simplify right side
    964.53x = 886,287.22
  5. Step 5: Solve for x
    x = 886,287.22/964.53
  6. Step 6: Final answer
    x = 918.88

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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.