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Finding the Fourth Proportional to 690.34, 953.16 and 454.42

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Solution

The fourth proportional to 690.34, 953.16 and 454.42 is: 627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.34 : 953.16 = 454.42 : x
  2. Step 2: Convert to fraction form
    690.34/953.16 = 454.42/x
  3. Step 3: Cross multiply
    690.34x = 953.16 × 454.42
  4. Step 4: Simplify right side
    690.34x = 433,134.97
  5. Step 5: Solve for x
    x = 433,134.97/690.34
  6. Step 6: Final answer
    x = 627.42

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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.