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Finding the Fourth Proportional to 1,124.59, 1,551.26 and 875.51

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Solution

The fourth proportional to 1,124.59, 1,551.26 and 875.51 is: 1,207.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.59 : 1,551.26 = 875.51 : x
  2. Step 2: Convert to fraction form
    1,124.59/1,551.26 = 875.51/x
  3. Step 3: Cross multiply
    1,124.59x = 1,551.26 × 875.51
  4. Step 4: Simplify right side
    1,124.59x = 1,358,149.71
  5. Step 5: Solve for x
    x = 1,358,149.71/1,124.59
  6. Step 6: Final answer
    x = 1,207.69

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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.