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Finding the Fourth Proportional to 672.92, 1,005.34 and 650.24

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Solution

The fourth proportional to 672.92, 1,005.34 and 650.24 is: 971.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.92 : 1,005.34 = 650.24 : x
  2. Step 2: Convert to fraction form
    672.92/1,005.34 = 650.24/x
  3. Step 3: Cross multiply
    672.92x = 1,005.34 × 650.24
  4. Step 4: Simplify right side
    672.92x = 653,712.28
  5. Step 5: Solve for x
    x = 653,712.28/672.92
  6. Step 6: Final answer
    x = 971.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.