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Finding the Fourth Proportional to 777.34, 1,165.96 and 430.84

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Solution

The fourth proportional to 777.34, 1,165.96 and 430.84 is: 646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.34 : 1,165.96 = 430.84 : x
  2. Step 2: Convert to fraction form
    777.34/1,165.96 = 430.84/x
  3. Step 3: Cross multiply
    777.34x = 1,165.96 × 430.84
  4. Step 4: Simplify right side
    777.34x = 502,342.21
  5. Step 5: Solve for x
    x = 502,342.21/777.34
  6. Step 6: Final answer
    x = 646.23

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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.