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Finding the Fourth Proportional to 581.84, 876.78 and 554.03

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Solution

The fourth proportional to 581.84, 876.78 and 554.03 is: 834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.84 : 876.78 = 554.03 : x
  2. Step 2: Convert to fraction form
    581.84/876.78 = 554.03/x
  3. Step 3: Cross multiply
    581.84x = 876.78 × 554.03
  4. Step 4: Simplify right side
    581.84x = 485,762.42
  5. Step 5: Solve for x
    x = 485,762.42/581.84
  6. Step 6: Final answer
    x = 834.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.