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Finding the Fourth Proportional to 581.79, 876.76 and 524.08

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Solution

The fourth proportional to 581.79, 876.76 and 524.08 is: 789.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.79 : 876.76 = 524.08 : x
  2. Step 2: Convert to fraction form
    581.79/876.76 = 524.08/x
  3. Step 3: Cross multiply
    581.79x = 876.76 × 524.08
  4. Step 4: Simplify right side
    581.79x = 459,492.38
  5. Step 5: Solve for x
    x = 459,492.38/581.79
  6. Step 6: Final answer
    x = 789.79

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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.