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Finding the Fourth Proportional to 882.42, 1,323.63 and 420.18

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Solution

The fourth proportional to 882.42, 1,323.63 and 420.18 is: 630.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.42 : 1,323.63 = 420.18 : x
  2. Step 2: Convert to fraction form
    882.42/1,323.63 = 420.18/x
  3. Step 3: Cross multiply
    882.42x = 1,323.63 × 420.18
  4. Step 4: Simplify right side
    882.42x = 556,162.85
  5. Step 5: Solve for x
    x = 556,162.85/882.42
  6. Step 6: Final answer
    x = 630.27

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Double scale
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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.