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Finding the Fourth Proportional to 882.04, 1,216.47 and 739.68

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Solution

The fourth proportional to 882.04, 1,216.47 and 739.68 is: 1,020.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.04 : 1,216.47 = 739.68 : x
  2. Step 2: Convert to fraction form
    882.04/1,216.47 = 739.68/x
  3. Step 3: Cross multiply
    882.04x = 1,216.47 × 739.68
  4. Step 4: Simplify right side
    882.04x = 899,799.42
  5. Step 5: Solve for x
    x = 899,799.42/882.04
  6. Step 6: Final answer
    x = 1,020.14

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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.