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Finding the Fourth Proportional to 1,029.78, 1,421.08 and 587.69

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Solution

The fourth proportional to 1,029.78, 1,421.08 and 587.69 is: 811.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.78 : 1,421.08 = 587.69 : x
  2. Step 2: Convert to fraction form
    1,029.78/1,421.08 = 587.69/x
  3. Step 3: Cross multiply
    1,029.78x = 1,421.08 × 587.69
  4. Step 4: Simplify right side
    1,029.78x = 835,154.57
  5. Step 5: Solve for x
    x = 835,154.57/1,029.78
  6. Step 6: Final answer
    x = 811.00

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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.