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Finding the Fourth Proportional to 1,033.61, 1,427.02 and 718.76

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Solution

The fourth proportional to 1,033.61, 1,427.02 and 718.76 is: 992.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.61 : 1,427.02 = 718.76 : x
  2. Step 2: Convert to fraction form
    1,033.61/1,427.02 = 718.76/x
  3. Step 3: Cross multiply
    1,033.61x = 1,427.02 × 718.76
  4. Step 4: Simplify right side
    1,033.61x = 1,025,686.67
  5. Step 5: Solve for x
    x = 1,025,686.67/1,033.61
  6. Step 6: Final answer
    x = 992.34

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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.