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Finding the Fourth Proportional to 690.32, 951.56 and 468.89

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Solution

The fourth proportional to 690.32, 951.56 and 468.89 is: 646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.32 : 951.56 = 468.89 : x
  2. Step 2: Convert to fraction form
    690.32/951.56 = 468.89/x
  3. Step 3: Cross multiply
    690.32x = 951.56 × 468.89
  4. Step 4: Simplify right side
    690.32x = 446,177.83
  5. Step 5: Solve for x
    x = 446,177.83/690.32
  6. Step 6: Final answer
    x = 646.33

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1.5x scale

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.