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Finding the Fourth Proportional to 631.68, 870.72 and 597.12

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Solution

The fourth proportional to 631.68, 870.72 and 597.12 is: 823.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.68 : 870.72 = 597.12 : x
  2. Step 2: Convert to fraction form
    631.68/870.72 = 597.12/x
  3. Step 3: Cross multiply
    631.68x = 870.72 × 597.12
  4. Step 4: Simplify right side
    631.68x = 519,924.33
  5. Step 5: Solve for x
    x = 519,924.33/631.68
  6. Step 6: Final answer
    x = 823.08

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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.