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Finding the Fourth Proportional to 648.16, 976.05 and 466.83

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Solution

The fourth proportional to 648.16, 976.05 and 466.83 is: 702.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.16 : 976.05 = 466.83 : x
  2. Step 2: Convert to fraction form
    648.16/976.05 = 466.83/x
  3. Step 3: Cross multiply
    648.16x = 976.05 × 466.83
  4. Step 4: Simplify right side
    648.16x = 455,649.42
  5. Step 5: Solve for x
    x = 455,649.42/648.16
  6. Step 6: Final answer
    x = 702.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.