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Finding the Fourth Proportional to 1,019.88, 1,407.24 and 646.92

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Solution

The fourth proportional to 1,019.88, 1,407.24 and 646.92 is: 892.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.88 : 1,407.24 = 646.92 : x
  2. Step 2: Convert to fraction form
    1,019.88/1,407.24 = 646.92/x
  3. Step 3: Cross multiply
    1,019.88x = 1,407.24 × 646.92
  4. Step 4: Simplify right side
    1,019.88x = 910,371.70
  5. Step 5: Solve for x
    x = 910,371.70/1,019.88
  6. Step 6: Final answer
    x = 892.63

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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.