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Finding the Fourth Proportional to 1,561.30, 2,341.67 and 587.23

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Solution

The fourth proportional to 1,561.30, 2,341.67 and 587.23 is: 880.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.30 : 2,341.67 = 587.23 : x
  2. Step 2: Convert to fraction form
    1,561.30/2,341.67 = 587.23/x
  3. Step 3: Cross multiply
    1,561.30x = 2,341.67 × 587.23
  4. Step 4: Simplify right side
    1,561.30x = 1,375,087.17
  5. Step 5: Solve for x
    x = 1,375,087.17/1,561.30
  6. Step 6: Final answer
    x = 880.74

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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.