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Finding the Fourth Proportional to 825.16, 1,138.51 and 493.35

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Solution

The fourth proportional to 825.16, 1,138.51 and 493.35 is: 680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.16 : 1,138.51 = 493.35 : x
  2. Step 2: Convert to fraction form
    825.16/1,138.51 = 493.35/x
  3. Step 3: Cross multiply
    825.16x = 1,138.51 × 493.35
  4. Step 4: Simplify right side
    825.16x = 561,688.61
  5. Step 5: Solve for x
    x = 561,688.61/825.16
  6. Step 6: Final answer
    x = 680.70

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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.