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Finding the Fourth Proportional to 693.51, 956.79 and 460.50

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Solution

The fourth proportional to 693.51, 956.79 and 460.50 is: 635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.51 : 956.79 = 460.50 : x
  2. Step 2: Convert to fraction form
    693.51/956.79 = 460.50/x
  3. Step 3: Cross multiply
    693.51x = 956.79 × 460.50
  4. Step 4: Simplify right side
    693.51x = 440,601.80
  5. Step 5: Solve for x
    x = 440,601.80/693.51
  6. Step 6: Final answer
    x = 635.32

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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.