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Finding the Fourth Proportional to 631.60, 870.88 and 578.68

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Solution

The fourth proportional to 631.60, 870.88 and 578.68 is: 797.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.60 : 870.88 = 578.68 : x
  2. Step 2: Convert to fraction form
    631.60/870.88 = 578.68/x
  3. Step 3: Cross multiply
    631.60x = 870.88 × 578.68
  4. Step 4: Simplify right side
    631.60x = 503,960.84
  5. Step 5: Solve for x
    x = 503,960.84/631.60
  6. Step 6: Final answer
    x = 797.91

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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.