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Finding the Fourth Proportional to 700.38, 1,048.65 and 657.08

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Solution

The fourth proportional to 700.38, 1,048.65 and 657.08 is: 983.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.38 : 1,048.65 = 657.08 : x
  2. Step 2: Convert to fraction form
    700.38/1,048.65 = 657.08/x
  3. Step 3: Cross multiply
    700.38x = 1,048.65 × 657.08
  4. Step 4: Simplify right side
    700.38x = 689,046.94
  5. Step 5: Solve for x
    x = 689,046.94/700.38
  6. Step 6: Final answer
    x = 983.82

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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.