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Finding the Fourth Proportional to 882.38, 1,217.60 and 509.48

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Solution

The fourth proportional to 882.38, 1,217.60 and 509.48 is: 703.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.38 : 1,217.60 = 509.48 : x
  2. Step 2: Convert to fraction form
    882.38/1,217.60 = 509.48/x
  3. Step 3: Cross multiply
    882.38x = 1,217.60 × 509.48
  4. Step 4: Simplify right side
    882.38x = 620,342.97
  5. Step 5: Solve for x
    x = 620,342.97/882.38
  6. Step 6: Final answer
    x = 703.03

Related Problems

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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.