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Finding the Fourth Proportional to 700.38, 1,052.58 and 693.06

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Solution

The fourth proportional to 700.38, 1,052.58 and 693.06 is: 1,041.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.38 : 1,052.58 = 693.06 : x
  2. Step 2: Convert to fraction form
    700.38/1,052.58 = 693.06/x
  3. Step 3: Cross multiply
    700.38x = 1,052.58 × 693.06
  4. Step 4: Simplify right side
    700.38x = 729,501.09
  5. Step 5: Solve for x
    x = 729,501.09/700.38
  6. Step 6: Final answer
    x = 1,041.58

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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.