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Finding the Fourth Proportional to 882.83, 1,218.21 and 528.68

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Solution

The fourth proportional to 882.83, 1,218.21 and 528.68 is: 729.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.83 : 1,218.21 = 528.68 : x
  2. Step 2: Convert to fraction form
    882.83/1,218.21 = 528.68/x
  3. Step 3: Cross multiply
    882.83x = 1,218.21 × 528.68
  4. Step 4: Simplify right side
    882.83x = 644,041.74
  5. Step 5: Solve for x
    x = 644,041.74/882.83
  6. Step 6: Final answer
    x = 729.52

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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.