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Finding the Fourth Proportional to 1,275.77, 1,756.45 and 882.11

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Solution

The fourth proportional to 1,275.77, 1,756.45 and 882.11 is: 1,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.77 : 1,756.45 = 882.11 : x
  2. Step 2: Convert to fraction form
    1,275.77/1,756.45 = 882.11/x
  3. Step 3: Cross multiply
    1,275.77x = 1,756.45 × 882.11
  4. Step 4: Simplify right side
    1,275.77x = 1,549,387.60
  5. Step 5: Solve for x
    x = 1,549,387.60/1,275.77
  6. Step 6: Final answer
    x = 1,214.47

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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.