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Finding the Fourth Proportional to 842.10, 1,162.12 and 469.06

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Solution

The fourth proportional to 842.10, 1,162.12 and 469.06 is: 647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.10 : 1,162.12 = 469.06 : x
  2. Step 2: Convert to fraction form
    842.10/1,162.12 = 469.06/x
  3. Step 3: Cross multiply
    842.10x = 1,162.12 × 469.06
  4. Step 4: Simplify right side
    842.10x = 545,104.01
  5. Step 5: Solve for x
    x = 545,104.01/842.10
  6. Step 6: Final answer
    x = 647.32

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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.