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Finding the Fourth Proportional to 805.83, 1,112.58 and 507.21

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Solution

The fourth proportional to 805.83, 1,112.58 and 507.21 is: 700.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.83 : 1,112.58 = 507.21 : x
  2. Step 2: Convert to fraction form
    805.83/1,112.58 = 507.21/x
  3. Step 3: Cross multiply
    805.83x = 1,112.58 × 507.21
  4. Step 4: Simplify right side
    805.83x = 564,311.70
  5. Step 5: Solve for x
    x = 564,311.70/805.83
  6. Step 6: Final answer
    x = 700.29

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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.