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Finding the Fourth Proportional to 760.13, 1,047.55 and 549.95

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Solution

The fourth proportional to 760.13, 1,047.55 and 549.95 is: 757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.13 : 1,047.55 = 549.95 : x
  2. Step 2: Convert to fraction form
    760.13/1,047.55 = 549.95/x
  3. Step 3: Cross multiply
    760.13x = 1,047.55 × 549.95
  4. Step 4: Simplify right side
    760.13x = 576,098.75
  5. Step 5: Solve for x
    x = 576,098.75/760.13
  6. Step 6: Final answer
    x = 757.89

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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.