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Finding the Fourth Proportional to 875.22, 1,207.80 and 502.20

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Solution

The fourth proportional to 875.22, 1,207.80 and 502.20 is: 693.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.22 : 1,207.80 = 502.20 : x
  2. Step 2: Convert to fraction form
    875.22/1,207.80 = 502.20/x
  3. Step 3: Cross multiply
    875.22x = 1,207.80 × 502.20
  4. Step 4: Simplify right side
    875.22x = 606,557.16
  5. Step 5: Solve for x
    x = 606,557.16/875.22
  6. Step 6: Final answer
    x = 693.03

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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.