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Finding the Fourth Proportional to 631.55, 871.85 and 594.16

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Solution

The fourth proportional to 631.55, 871.85 and 594.16 is: 820.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.55 : 871.85 = 594.16 : x
  2. Step 2: Convert to fraction form
    631.55/871.85 = 594.16/x
  3. Step 3: Cross multiply
    631.55x = 871.85 × 594.16
  4. Step 4: Simplify right side
    631.55x = 518,018.40
  5. Step 5: Solve for x
    x = 518,018.40/631.55
  6. Step 6: Final answer
    x = 820.23

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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.