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Finding the Fourth Proportional to 729.35, 1,005.76 and 649.35

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Solution

The fourth proportional to 729.35, 1,005.76 and 649.35 is: 895.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.35 : 1,005.76 = 649.35 : x
  2. Step 2: Convert to fraction form
    729.35/1,005.76 = 649.35/x
  3. Step 3: Cross multiply
    729.35x = 1,005.76 × 649.35
  4. Step 4: Simplify right side
    729.35x = 653,090.26
  5. Step 5: Solve for x
    x = 653,090.26/729.35
  6. Step 6: Final answer
    x = 895.44

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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.