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Finding the Fourth Proportional to 631.23, 870.80 and 543.75

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Solution

The fourth proportional to 631.23, 870.80 and 543.75 is: 750.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.23 : 870.80 = 543.75 : x
  2. Step 2: Convert to fraction form
    631.23/870.80 = 543.75/x
  3. Step 3: Cross multiply
    631.23x = 870.80 × 543.75
  4. Step 4: Simplify right side
    631.23x = 473,494.78
  5. Step 5: Solve for x
    x = 473,494.78/631.23
  6. Step 6: Final answer
    x = 750.11

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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.