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Finding the Fourth Proportional to 557.67, 840.73 and 527.90

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Solution

The fourth proportional to 557.67, 840.73 and 527.90 is: 795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.67 : 840.73 = 527.90 : x
  2. Step 2: Convert to fraction form
    557.67/840.73 = 527.90/x
  3. Step 3: Cross multiply
    557.67x = 840.73 × 527.90
  4. Step 4: Simplify right side
    557.67x = 443,821.37
  5. Step 5: Solve for x
    x = 443,821.37/557.67
  6. Step 6: Final answer
    x = 795.85

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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.