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Finding the Fourth Proportional to 875.04, 1,207.61 and 502.03

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Solution

The fourth proportional to 875.04, 1,207.61 and 502.03 is: 692.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.04 : 1,207.61 = 502.03 : x
  2. Step 2: Convert to fraction form
    875.04/1,207.61 = 502.03/x
  3. Step 3: Cross multiply
    875.04x = 1,207.61 × 502.03
  4. Step 4: Simplify right side
    875.04x = 606,253.94
  5. Step 5: Solve for x
    x = 606,253.94/875.04
  6. Step 6: Final answer
    x = 692.83

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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.