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Finding the Fourth Proportional to 631.54, 870.66 and 617.74

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Solution

The fourth proportional to 631.54, 870.66 and 617.74 is: 851.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.54 : 870.66 = 617.74 : x
  2. Step 2: Convert to fraction form
    631.54/870.66 = 617.74/x
  3. Step 3: Cross multiply
    631.54x = 870.66 × 617.74
  4. Step 4: Simplify right side
    631.54x = 537,841.51
  5. Step 5: Solve for x
    x = 537,841.51/631.54
  6. Step 6: Final answer
    x = 851.63

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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.