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Finding the Fourth Proportional to 690.53, 1,036.07 and 257.59

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Solution

The fourth proportional to 690.53, 1,036.07 and 257.59 is: 386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.53 : 1,036.07 = 257.59 : x
  2. Step 2: Convert to fraction form
    690.53/1,036.07 = 257.59/x
  3. Step 3: Cross multiply
    690.53x = 1,036.07 × 257.59
  4. Step 4: Simplify right side
    690.53x = 266,874.80
  5. Step 5: Solve for x
    x = 266,874.80/690.53
  6. Step 6: Final answer
    x = 386.48

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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.