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Finding the Fourth Proportional to 648.47, 972.71 and 215.66

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Solution

The fourth proportional to 648.47, 972.71 and 215.66 is: 323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.47 : 972.71 = 215.66 : x
  2. Step 2: Convert to fraction form
    648.47/972.71 = 215.66/x
  3. Step 3: Cross multiply
    648.47x = 972.71 × 215.66
  4. Step 4: Simplify right side
    648.47x = 209,774.64
  5. Step 5: Solve for x
    x = 209,774.64/648.47
  6. Step 6: Final answer
    x = 323.49

Related Problems

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Half scale
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Double scale
Find fourth proportional to 649.47, 974.21 and 216.66
Similar ratio
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1.5x scale

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.