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Finding the Fourth Proportional to 1,713.85, 2,572.01 and 740.65

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Solution

The fourth proportional to 1,713.85, 2,572.01 and 740.65 is: 1,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.85 : 2,572.01 = 740.65 : x
  2. Step 2: Convert to fraction form
    1,713.85/2,572.01 = 740.65/x
  3. Step 3: Cross multiply
    1,713.85x = 2,572.01 × 740.65
  4. Step 4: Simplify right side
    1,713.85x = 1,904,959.21
  5. Step 5: Solve for x
    x = 1,904,959.21/1,713.85
  6. Step 6: Final answer
    x = 1,111.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.