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Finding the Fourth Proportional to 716, 987.36 and 541.12

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Solution

The fourth proportional to 716, 987.36 and 541.12 is: 746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    716 : 987.36 = 541.12 : x
  2. Step 2: Convert to fraction form
    716/987.36 = 541.12/x
  3. Step 3: Cross multiply
    716x = 987.36 × 541.12
  4. Step 4: Simplify right side
    716x = 534,280.24
  5. Step 5: Solve for x
    x = 534,280.24/716
  6. Step 6: Final answer
    x = 746.20

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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.