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Finding the Fourth Proportional to 690.02, 1,034.91 and 257.07

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Solution

The fourth proportional to 690.02, 1,034.91 and 257.07 is: 385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.02 : 1,034.91 = 257.07 : x
  2. Step 2: Convert to fraction form
    690.02/1,034.91 = 257.07/x
  3. Step 3: Cross multiply
    690.02x = 1,034.91 × 257.07
  4. Step 4: Simplify right side
    690.02x = 266,044.31
  5. Step 5: Solve for x
    x = 266,044.31/690.02
  6. Step 6: Final answer
    x = 385.56

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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.