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Finding the Fourth Proportional to 883.90, 1,323.08 and 472.50

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Solution

The fourth proportional to 883.90, 1,323.08 and 472.50 is: 707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.90 : 1,323.08 = 472.50 : x
  2. Step 2: Convert to fraction form
    883.90/1,323.08 = 472.50/x
  3. Step 3: Cross multiply
    883.90x = 1,323.08 × 472.50
  4. Step 4: Simplify right side
    883.90x = 625,155.30
  5. Step 5: Solve for x
    x = 625,155.30/883.90
  6. Step 6: Final answer
    x = 707.27

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Why These Related Problems?

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