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Finding the Fourth Proportional to 690.32, 1,036.49 and 431.42

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Solution

The fourth proportional to 690.32, 1,036.49 and 431.42 is: 647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.32 : 1,036.49 = 431.42 : x
  2. Step 2: Convert to fraction form
    690.32/1,036.49 = 431.42/x
  3. Step 3: Cross multiply
    690.32x = 1,036.49 × 431.42
  4. Step 4: Simplify right side
    690.32x = 447,162.52
  5. Step 5: Solve for x
    x = 447,162.52/690.32
  6. Step 6: Final answer
    x = 647.77

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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.