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Finding the Fourth Proportional to 693.96, 956.76 and 507.24

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Solution

The fourth proportional to 693.96, 956.76 and 507.24 is: 699.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.96 : 956.76 = 507.24 : x
  2. Step 2: Convert to fraction form
    693.96/956.76 = 507.24/x
  3. Step 3: Cross multiply
    693.96x = 956.76 × 507.24
  4. Step 4: Simplify right side
    693.96x = 485,306.94
  5. Step 5: Solve for x
    x = 485,306.94/693.96
  6. Step 6: Final answer
    x = 699.33

Related Problems

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Half scale
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Double scale
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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.