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Finding the Fourth Proportional to 704.16, 1,052.64 and 519.84

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Solution

The fourth proportional to 704.16, 1,052.64 and 519.84 is: 777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.16 : 1,052.64 = 519.84 : x
  2. Step 2: Convert to fraction form
    704.16/1,052.64 = 519.84/x
  3. Step 3: Cross multiply
    704.16x = 1,052.64 × 519.84
  4. Step 4: Simplify right side
    704.16x = 547,204.38
  5. Step 5: Solve for x
    x = 547,204.38/704.16
  6. Step 6: Final answer
    x = 777.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.