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Finding the Fourth Proportional to 690.08, 951.48 and 473.94

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Solution

The fourth proportional to 690.08, 951.48 and 473.94 is: 653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.08 : 951.48 = 473.94 : x
  2. Step 2: Convert to fraction form
    690.08/951.48 = 473.94/x
  3. Step 3: Cross multiply
    690.08x = 951.48 × 473.94
  4. Step 4: Simplify right side
    690.08x = 450,944.43
  5. Step 5: Solve for x
    x = 450,944.43/690.08
  6. Step 6: Final answer
    x = 653.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.