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Finding the Fourth Proportional to 882.92, 1,218.12 and 509.89

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Solution

The fourth proportional to 882.92, 1,218.12 and 509.89 is: 703.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.92 : 1,218.12 = 509.89 : x
  2. Step 2: Convert to fraction form
    882.92/1,218.12 = 509.89/x
  3. Step 3: Cross multiply
    882.92x = 1,218.12 × 509.89
  4. Step 4: Simplify right side
    882.92x = 621,107.21
  5. Step 5: Solve for x
    x = 621,107.21/882.92
  6. Step 6: Final answer
    x = 703.47

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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.