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Finding the Fourth Proportional to 1,080.51, 1,491.17 and 614.76

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Solution

The fourth proportional to 1,080.51, 1,491.17 and 614.76 is: 848.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.51 : 1,491.17 = 614.76 : x
  2. Step 2: Convert to fraction form
    1,080.51/1,491.17 = 614.76/x
  3. Step 3: Cross multiply
    1,080.51x = 1,491.17 × 614.76
  4. Step 4: Simplify right side
    1,080.51x = 916,711.67
  5. Step 5: Solve for x
    x = 916,711.67/1,080.51
  6. Step 6: Final answer
    x = 848.41

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Half scale
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1.5x scale

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.