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Finding the Fourth Proportional to 875.49, 1,207.89 and 502.35

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Solution

The fourth proportional to 875.49, 1,207.89 and 502.35 is: 693.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.49 : 1,207.89 = 502.35 : x
  2. Step 2: Convert to fraction form
    875.49/1,207.89 = 502.35/x
  3. Step 3: Cross multiply
    875.49x = 1,207.89 × 502.35
  4. Step 4: Simplify right side
    875.49x = 606,783.54
  5. Step 5: Solve for x
    x = 606,783.54/875.49
  6. Step 6: Final answer
    x = 693.08

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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.