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Finding the Fourth Proportional to 557.86, 769.53 and 410.50

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Solution

The fourth proportional to 557.86, 769.53 and 410.50 is: 566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.86 : 769.53 = 410.50 : x
  2. Step 2: Convert to fraction form
    557.86/769.53 = 410.50/x
  3. Step 3: Cross multiply
    557.86x = 769.53 × 410.50
  4. Step 4: Simplify right side
    557.86x = 315,892.07
  5. Step 5: Solve for x
    x = 315,892.07/557.86
  6. Step 6: Final answer
    x = 566.26

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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.