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Finding the Fourth Proportional to 777.79, 1,165.74 and 431.11

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Solution

The fourth proportional to 777.79, 1,165.74 and 431.11 is: 646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.79 : 1,165.74 = 431.11 : x
  2. Step 2: Convert to fraction form
    777.79/1,165.74 = 431.11/x
  3. Step 3: Cross multiply
    777.79x = 1,165.74 × 431.11
  4. Step 4: Simplify right side
    777.79x = 502,560.02
  5. Step 5: Solve for x
    x = 502,560.02/777.79
  6. Step 6: Final answer
    x = 646.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.