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Finding the Fourth Proportional to 1,080.47, 1,490.99 and 614.72

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Solution

The fourth proportional to 1,080.47, 1,490.99 and 614.72 is: 848.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.47 : 1,490.99 = 614.72 : x
  2. Step 2: Convert to fraction form
    1,080.47/1,490.99 = 614.72/x
  3. Step 3: Cross multiply
    1,080.47x = 1,490.99 × 614.72
  4. Step 4: Simplify right side
    1,080.47x = 916,530.84
  5. Step 5: Solve for x
    x = 916,530.84/1,080.47
  6. Step 6: Final answer
    x = 848.27

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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.