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Finding the Fourth Proportional to 1,029.78, 1,421.24 and 587.72

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Solution

The fourth proportional to 1,029.78, 1,421.24 and 587.72 is: 811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.78 : 1,421.24 = 587.72 : x
  2. Step 2: Convert to fraction form
    1,029.78/1,421.24 = 587.72/x
  3. Step 3: Cross multiply
    1,029.78x = 1,421.24 × 587.72
  4. Step 4: Simplify right side
    1,029.78x = 835,291.17
  5. Step 5: Solve for x
    x = 835,291.17/1,029.78
  6. Step 6: Final answer
    x = 811.14

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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.