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Finding the Fourth Proportional to 1,708.71, 2,565.50 and 1,300.47

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Solution

The fourth proportional to 1,708.71, 2,565.50 and 1,300.47 is: 1,952.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.71 : 2,565.50 = 1,300.47 : x
  2. Step 2: Convert to fraction form
    1,708.71/2,565.50 = 1,300.47/x
  3. Step 3: Cross multiply
    1,708.71x = 2,565.50 × 1,300.47
  4. Step 4: Simplify right side
    1,708.71x = 3,336,349.28
  5. Step 5: Solve for x
    x = 3,336,349.28/1,708.71
  6. Step 6: Final answer
    x = 1,952.55

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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.