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Finding the Fourth Proportional to 1,019.79, 1,407.66 and 725.91

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Solution

The fourth proportional to 1,019.79, 1,407.66 and 725.91 is: 1,002.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.79 : 1,407.66 = 725.91 : x
  2. Step 2: Convert to fraction form
    1,019.79/1,407.66 = 725.91/x
  3. Step 3: Cross multiply
    1,019.79x = 1,407.66 × 725.91
  4. Step 4: Simplify right side
    1,019.79x = 1,021,834.47
  5. Step 5: Solve for x
    x = 1,021,834.47/1,019.79
  6. Step 6: Final answer
    x = 1,002.00

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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.