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Finding the Fourth Proportional to 875.38, 1,208.50 and 581.04

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Solution

The fourth proportional to 875.38, 1,208.50 and 581.04 is: 802.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.38 : 1,208.50 = 581.04 : x
  2. Step 2: Convert to fraction form
    875.38/1,208.50 = 581.04/x
  3. Step 3: Cross multiply
    875.38x = 1,208.50 × 581.04
  4. Step 4: Simplify right side
    875.38x = 702,186.84
  5. Step 5: Solve for x
    x = 702,186.84/875.38
  6. Step 6: Final answer
    x = 802.15

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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.