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Finding the Fourth Proportional to 875.03, 1,207.66 and 502.05

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Solution

The fourth proportional to 875.03, 1,207.66 and 502.05 is: 692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.03 : 1,207.66 = 502.05 : x
  2. Step 2: Convert to fraction form
    875.03/1,207.66 = 502.05/x
  3. Step 3: Cross multiply
    875.03x = 1,207.66 × 502.05
  4. Step 4: Simplify right side
    875.03x = 606,305.70
  5. Step 5: Solve for x
    x = 606,305.70/875.03
  6. Step 6: Final answer
    x = 692.90

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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.