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Finding the Fourth Proportional to 987.28, 1,360.86 and 790.48

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Solution

The fourth proportional to 987.28, 1,360.86 and 790.48 is: 1,089.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.28 : 1,360.86 = 790.48 : x
  2. Step 2: Convert to fraction form
    987.28/1,360.86 = 790.48/x
  3. Step 3: Cross multiply
    987.28x = 1,360.86 × 790.48
  4. Step 4: Simplify right side
    987.28x = 1,075,732.61
  5. Step 5: Solve for x
    x = 1,075,732.61/987.28
  6. Step 6: Final answer
    x = 1,089.59

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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.