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Finding the Fourth Proportional to 882.68, 1,218.27 and 509.65

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Solution

The fourth proportional to 882.68, 1,218.27 and 509.65 is: 703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.68 : 1,218.27 = 509.65 : x
  2. Step 2: Convert to fraction form
    882.68/1,218.27 = 509.65/x
  3. Step 3: Cross multiply
    882.68x = 1,218.27 × 509.65
  4. Step 4: Simplify right side
    882.68x = 620,891.31
  5. Step 5: Solve for x
    x = 620,891.31/882.68
  6. Step 6: Final answer
    x = 703.42

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Double scale
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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.