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Finding the Fourth Proportional to 749, 1,123.73 and 316.19

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Solution

The fourth proportional to 749, 1,123.73 and 316.19 is: 474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    749 : 1,123.73 = 316.19 : x
  2. Step 2: Convert to fraction form
    749/1,123.73 = 316.19/x
  3. Step 3: Cross multiply
    749x = 1,123.73 × 316.19
  4. Step 4: Simplify right side
    749x = 355,312.19
  5. Step 5: Solve for x
    x = 355,312.19/749
  6. Step 6: Final answer
    x = 474.38

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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.