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Finding the Fourth Proportional to 833.02, 1,249.47 and 507.71

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Solution

The fourth proportional to 833.02, 1,249.47 and 507.71 is: 761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.02 : 1,249.47 = 507.71 : x
  2. Step 2: Convert to fraction form
    833.02/1,249.47 = 507.71/x
  3. Step 3: Cross multiply
    833.02x = 1,249.47 × 507.71
  4. Step 4: Simplify right side
    833.02x = 634,363.44
  5. Step 5: Solve for x
    x = 634,363.44/833.02
  6. Step 6: Final answer
    x = 761.52

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.