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Finding the Fourth Proportional to 1,570.87, 2,354.76 and 877.87

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Solution

The fourth proportional to 1,570.87, 2,354.76 and 877.87 is: 1,315.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.87 : 2,354.76 = 877.87 : x
  2. Step 2: Convert to fraction form
    1,570.87/2,354.76 = 877.87/x
  3. Step 3: Cross multiply
    1,570.87x = 2,354.76 × 877.87
  4. Step 4: Simplify right side
    1,570.87x = 2,067,167.27
  5. Step 5: Solve for x
    x = 2,067,167.27/1,570.87
  6. Step 6: Final answer
    x = 1,315.94

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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.