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Finding the Fourth Proportional to 642.34, 962.57 and 549.24

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Solution

The fourth proportional to 642.34, 962.57 and 549.24 is: 823.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.34 : 962.57 = 549.24 : x
  2. Step 2: Convert to fraction form
    642.34/962.57 = 549.24/x
  3. Step 3: Cross multiply
    642.34x = 962.57 × 549.24
  4. Step 4: Simplify right side
    642.34x = 528,681.95
  5. Step 5: Solve for x
    x = 528,681.95/642.34
  6. Step 6: Final answer
    x = 823.06

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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.