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Finding the Fourth Proportional to 1,143.25, 1,714.55 and 557.93

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Solution

The fourth proportional to 1,143.25, 1,714.55 and 557.93 is: 836.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.25 : 1,714.55 = 557.93 : x
  2. Step 2: Convert to fraction form
    1,143.25/1,714.55 = 557.93/x
  3. Step 3: Cross multiply
    1,143.25x = 1,714.55 × 557.93
  4. Step 4: Simplify right side
    1,143.25x = 956,598.88
  5. Step 5: Solve for x
    x = 956,598.88/1,143.25
  6. Step 6: Final answer
    x = 836.74

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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.