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Finding the Fourth Proportional to 988.07, 1,363.52 and 546.02

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Solution

The fourth proportional to 988.07, 1,363.52 and 546.02 is: 753.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.07 : 1,363.52 = 546.02 : x
  2. Step 2: Convert to fraction form
    988.07/1,363.52 = 546.02/x
  3. Step 3: Cross multiply
    988.07x = 1,363.52 × 546.02
  4. Step 4: Simplify right side
    988.07x = 744,503.74
  5. Step 5: Solve for x
    x = 744,503.74/988.07
  6. Step 6: Final answer
    x = 753.49

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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.