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Finding the Fourth Proportional to 842.65, 1,263.47 and 315.34

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Solution

The fourth proportional to 842.65, 1,263.47 and 315.34 is: 472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.65 : 1,263.47 = 315.34 : x
  2. Step 2: Convert to fraction form
    842.65/1,263.47 = 315.34/x
  3. Step 3: Cross multiply
    842.65x = 1,263.47 × 315.34
  4. Step 4: Simplify right side
    842.65x = 398,421.84
  5. Step 5: Solve for x
    x = 398,421.84/842.65
  6. Step 6: Final answer
    x = 472.82

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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.