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Finding the Fourth Proportional to 882.30, 1,323.48 and 420.13

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Solution

The fourth proportional to 882.30, 1,323.48 and 420.13 is: 630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.30 : 1,323.48 = 420.13 : x
  2. Step 2: Convert to fraction form
    882.30/1,323.48 = 420.13/x
  3. Step 3: Cross multiply
    882.30x = 1,323.48 × 420.13
  4. Step 4: Simplify right side
    882.30x = 556,033.65
  5. Step 5: Solve for x
    x = 556,033.65/882.30
  6. Step 6: Final answer
    x = 630.21

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1.5x scale

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.