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Finding the Fourth Proportional to 854.12, 1,280.78 and 507.50

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Solution

The fourth proportional to 854.12, 1,280.78 and 507.50 is: 761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.12 : 1,280.78 = 507.50 : x
  2. Step 2: Convert to fraction form
    854.12/1,280.78 = 507.50/x
  3. Step 3: Cross multiply
    854.12x = 1,280.78 × 507.50
  4. Step 4: Simplify right side
    854.12x = 650,000.32
  5. Step 5: Solve for x
    x = 650,000.32/854.12
  6. Step 6: Final answer
    x = 761.02

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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.