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Finding the Fourth Proportional to 581.76, 876.08 and 420.57

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Solution

The fourth proportional to 581.76, 876.08 and 420.57 is: 633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.76 : 876.08 = 420.57 : x
  2. Step 2: Convert to fraction form
    581.76/876.08 = 420.57/x
  3. Step 3: Cross multiply
    581.76x = 876.08 × 420.57
  4. Step 4: Simplify right side
    581.76x = 368,454.02
  5. Step 5: Solve for x
    x = 368,454.02/581.76
  6. Step 6: Final answer
    x = 633.34

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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.