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Finding the Fourth Proportional to 821.79, 1,134.29 and 507.33

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Solution

The fourth proportional to 821.79, 1,134.29 and 507.33 is: 700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.79 : 1,134.29 = 507.33 : x
  2. Step 2: Convert to fraction form
    821.79/1,134.29 = 507.33/x
  3. Step 3: Cross multiply
    821.79x = 1,134.29 × 507.33
  4. Step 4: Simplify right side
    821.79x = 575,451.14
  5. Step 5: Solve for x
    x = 575,451.14/821.79
  6. Step 6: Final answer
    x = 700.24

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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.