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Finding the Fourth Proportional to 988.76, 1,483.68 and 642.08

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Solution

The fourth proportional to 988.76, 1,483.68 and 642.08 is: 963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.76 : 1,483.68 = 642.08 : x
  2. Step 2: Convert to fraction form
    988.76/1,483.68 = 642.08/x
  3. Step 3: Cross multiply
    988.76x = 1,483.68 × 642.08
  4. Step 4: Simplify right side
    988.76x = 952,641.25
  5. Step 5: Solve for x
    x = 952,641.25/988.76
  6. Step 6: Final answer
    x = 963.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.