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Finding the Fourth Proportional to 690.57, 953.03 and 457.53

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Solution

The fourth proportional to 690.57, 953.03 and 457.53 is: 631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.57 : 953.03 = 457.53 : x
  2. Step 2: Convert to fraction form
    690.57/953.03 = 457.53/x
  3. Step 3: Cross multiply
    690.57x = 953.03 × 457.53
  4. Step 4: Simplify right side
    690.57x = 436,037.53
  5. Step 5: Solve for x
    x = 436,037.53/690.57
  6. Step 6: Final answer
    x = 631.42

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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.