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Finding the Fourth Proportional to 741.42, 1,024.05 and 555.73

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Solution

The fourth proportional to 741.42, 1,024.05 and 555.73 is: 767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.42 : 1,024.05 = 555.73 : x
  2. Step 2: Convert to fraction form
    741.42/1,024.05 = 555.73/x
  3. Step 3: Cross multiply
    741.42x = 1,024.05 × 555.73
  4. Step 4: Simplify right side
    741.42x = 569,095.31
  5. Step 5: Solve for x
    x = 569,095.31/741.42
  6. Step 6: Final answer
    x = 767.57

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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.