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Finding the Fourth Proportional to 690.75, 953.25 and 429

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Solution

The fourth proportional to 690.75, 953.25 and 429 is: 592.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.75 : 953.25 = 429 : x
  2. Step 2: Convert to fraction form
    690.75/953.25 = 429/x
  3. Step 3: Cross multiply
    690.75x = 953.25 × 429
  4. Step 4: Simplify right side
    690.75x = 408,944.25
  5. Step 5: Solve for x
    x = 408,944.25/690.75
  6. Step 6: Final answer
    x = 592.03

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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.