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Finding the Fourth Proportional to 760.18, 1,047.72 and 722.38

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Solution

The fourth proportional to 760.18, 1,047.72 and 722.38 is: 995.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.18 : 1,047.72 = 722.38 : x
  2. Step 2: Convert to fraction form
    760.18/1,047.72 = 722.38/x
  3. Step 3: Cross multiply
    760.18x = 1,047.72 × 722.38
  4. Step 4: Simplify right side
    760.18x = 756,851.97
  5. Step 5: Solve for x
    x = 756,851.97/760.18
  6. Step 6: Final answer
    x = 995.62

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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.