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Finding the Fourth Proportional to 704.64, 1,048.64 and 678.72

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Solution

The fourth proportional to 704.64, 1,048.64 and 678.72 is: 1,010.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.64 : 1,048.64 = 678.72 : x
  2. Step 2: Convert to fraction form
    704.64/1,048.64 = 678.72/x
  3. Step 3: Cross multiply
    704.64x = 1,048.64 × 678.72
  4. Step 4: Simplify right side
    704.64x = 711,732.94
  5. Step 5: Solve for x
    x = 711,732.94/704.64
  6. Step 6: Final answer
    x = 1,010.07

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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.