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Finding the Fourth Proportional to 1,708.81, 2,358.95 and 1,000.55

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Solution

The fourth proportional to 1,708.81, 2,358.95 and 1,000.55 is: 1,381.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.81 : 2,358.95 = 1,000.55 : x
  2. Step 2: Convert to fraction form
    1,708.81/2,358.95 = 1,000.55/x
  3. Step 3: Cross multiply
    1,708.81x = 2,358.95 × 1,000.55
  4. Step 4: Simplify right side
    1,708.81x = 2,360,248.32
  5. Step 5: Solve for x
    x = 2,360,248.32/1,708.81
  6. Step 6: Final answer
    x = 1,381.23

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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.