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Finding the Fourth Proportional to 777.72, 1,073.76 and 498.07

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Solution

The fourth proportional to 777.72, 1,073.76 and 498.07 is: 687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.72 : 1,073.76 = 498.07 : x
  2. Step 2: Convert to fraction form
    777.72/1,073.76 = 498.07/x
  3. Step 3: Cross multiply
    777.72x = 1,073.76 × 498.07
  4. Step 4: Simplify right side
    777.72x = 534,801.08
  5. Step 5: Solve for x
    x = 534,801.08/777.72
  6. Step 6: Final answer
    x = 687.65

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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.