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Finding the Fourth Proportional to 1,143.48, 1,578.79 and 877.46

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Solution

The fourth proportional to 1,143.48, 1,578.79 and 877.46 is: 1,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.48 : 1,578.79 = 877.46 : x
  2. Step 2: Convert to fraction form
    1,143.48/1,578.79 = 877.46/x
  3. Step 3: Cross multiply
    1,143.48x = 1,578.79 × 877.46
  4. Step 4: Simplify right side
    1,143.48x = 1,385,325.07
  5. Step 5: Solve for x
    x = 1,385,325.07/1,143.48
  6. Step 6: Final answer
    x = 1,211.50

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1.5x scale

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.