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Finding the Fourth Proportional to 690.32, 951.36 and 469.28

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Solution

The fourth proportional to 690.32, 951.36 and 469.28 is: 646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.32 : 951.36 = 469.28 : x
  2. Step 2: Convert to fraction form
    690.32/951.36 = 469.28/x
  3. Step 3: Cross multiply
    690.32x = 951.36 × 469.28
  4. Step 4: Simplify right side
    690.32x = 446,454.22
  5. Step 5: Solve for x
    x = 446,454.22/690.32
  6. Step 6: Final answer
    x = 646.74

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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.