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Finding the Fourth Proportional to 772.76, 1,066.05 and 507.65

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Solution

The fourth proportional to 772.76, 1,066.05 and 507.65 is: 700.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.76 : 1,066.05 = 507.65 : x
  2. Step 2: Convert to fraction form
    772.76/1,066.05 = 507.65/x
  3. Step 3: Cross multiply
    772.76x = 1,066.05 × 507.65
  4. Step 4: Simplify right side
    772.76x = 541,174.95
  5. Step 5: Solve for x
    x = 541,174.95/772.76
  6. Step 6: Final answer
    x = 700.31

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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.