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Finding the Fourth Proportional to 882.12, 1,323.40 and 470.99

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Solution

The fourth proportional to 882.12, 1,323.40 and 470.99 is: 706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.12 : 1,323.40 = 470.99 : x
  2. Step 2: Convert to fraction form
    882.12/1,323.40 = 470.99/x
  3. Step 3: Cross multiply
    882.12x = 1,323.40 × 470.99
  4. Step 4: Simplify right side
    882.12x = 623,308.17
  5. Step 5: Solve for x
    x = 623,308.17/882.12
  6. Step 6: Final answer
    x = 706.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.