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Finding the Fourth Proportional to 1,235.71, 1,854.50 and 586.90

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Solution

The fourth proportional to 1,235.71, 1,854.50 and 586.90 is: 880.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.71 : 1,854.50 = 586.90 : x
  2. Step 2: Convert to fraction form
    1,235.71/1,854.50 = 586.90/x
  3. Step 3: Cross multiply
    1,235.71x = 1,854.50 × 586.90
  4. Step 4: Simplify right side
    1,235.71x = 1,088,395.00
  5. Step 5: Solve for x
    x = 1,088,395.00/1,235.71
  6. Step 6: Final answer
    x = 880.79

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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.