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Finding the Fourth Proportional to 1,561.69, 2,341.62 and 587.87

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Solution

The fourth proportional to 1,561.69, 2,341.62 and 587.87 is: 881.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.69 : 2,341.62 = 587.87 : x
  2. Step 2: Convert to fraction form
    1,561.69/2,341.62 = 587.87/x
  3. Step 3: Cross multiply
    1,561.69x = 2,341.62 × 587.87
  4. Step 4: Simplify right side
    1,561.69x = 1,376,565.22
  5. Step 5: Solve for x
    x = 1,376,565.22/1,561.69
  6. Step 6: Final answer
    x = 881.46

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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.