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Finding the Fourth Proportional to 777.02, 1,071.96 and 514.58

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Solution

The fourth proportional to 777.02, 1,071.96 and 514.58 is: 709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.02 : 1,071.96 = 514.58 : x
  2. Step 2: Convert to fraction form
    777.02/1,071.96 = 514.58/x
  3. Step 3: Cross multiply
    777.02x = 1,071.96 × 514.58
  4. Step 4: Simplify right side
    777.02x = 551,613.79
  5. Step 5: Solve for x
    x = 551,613.79/777.02
  6. Step 6: Final answer
    x = 709.91

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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.