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Finding the Fourth Proportional to 926.46, 1,390.05 and 493.38

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Solution

The fourth proportional to 926.46, 1,390.05 and 493.38 is: 740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.46 : 1,390.05 = 493.38 : x
  2. Step 2: Convert to fraction form
    926.46/1,390.05 = 493.38/x
  3. Step 3: Cross multiply
    926.46x = 1,390.05 × 493.38
  4. Step 4: Simplify right side
    926.46x = 685,822.87
  5. Step 5: Solve for x
    x = 685,822.87/926.46
  6. Step 6: Final answer
    x = 740.26

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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.