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Finding the Fourth Proportional to 642.48, 886.72 and 362.76

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Solution

The fourth proportional to 642.48, 886.72 and 362.76 is: 500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.48 : 886.72 = 362.76 : x
  2. Step 2: Convert to fraction form
    642.48/886.72 = 362.76/x
  3. Step 3: Cross multiply
    642.48x = 886.72 × 362.76
  4. Step 4: Simplify right side
    642.48x = 321,666.55
  5. Step 5: Solve for x
    x = 321,666.55/642.48
  6. Step 6: Final answer
    x = 500.66

Related Problems

Find fourth proportional to 321.24, 443.36 and 181.38
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1.5x scale

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.