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Finding the Fourth Proportional to 983.65, 1,467.19 and 915.61

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Solution

The fourth proportional to 983.65, 1,467.19 and 915.61 is: 1,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.65 : 1,467.19 = 915.61 : x
  2. Step 2: Convert to fraction form
    983.65/1,467.19 = 915.61/x
  3. Step 3: Cross multiply
    983.65x = 1,467.19 × 915.61
  4. Step 4: Simplify right side
    983.65x = 1,343,373.84
  5. Step 5: Solve for x
    x = 1,343,373.84/983.65
  6. Step 6: Final answer
    x = 1,365.70

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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.