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Finding the Fourth Proportional to 642.06, 885.53 and 420.93

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Solution

The fourth proportional to 642.06, 885.53 and 420.93 is: 580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.06 : 885.53 = 420.93 : x
  2. Step 2: Convert to fraction form
    642.06/885.53 = 420.93/x
  3. Step 3: Cross multiply
    642.06x = 885.53 × 420.93
  4. Step 4: Simplify right side
    642.06x = 372,747.20
  5. Step 5: Solve for x
    x = 372,747.20/642.06
  6. Step 6: Final answer
    x = 580.55

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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.