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Finding the Fourth Proportional to 1,124.34, 1,686.90 and 576.93

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Solution

The fourth proportional to 1,124.34, 1,686.90 and 576.93 is: 865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.34 : 1,686.90 = 576.93 : x
  2. Step 2: Convert to fraction form
    1,124.34/1,686.90 = 576.93/x
  3. Step 3: Cross multiply
    1,124.34x = 1,686.90 × 576.93
  4. Step 4: Simplify right side
    1,124.34x = 973,223.22
  5. Step 5: Solve for x
    x = 973,223.22/1,124.34
  6. Step 6: Final answer
    x = 865.60

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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.