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Finding the Fourth Proportional to 856.95, 1,285.67 and 337.02

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Solution

The fourth proportional to 856.95, 1,285.67 and 337.02 is: 505.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.95 : 1,285.67 = 337.02 : x
  2. Step 2: Convert to fraction form
    856.95/1,285.67 = 337.02/x
  3. Step 3: Cross multiply
    856.95x = 1,285.67 × 337.02
  4. Step 4: Simplify right side
    856.95x = 433,296.50
  5. Step 5: Solve for x
    x = 433,296.50/856.95
  6. Step 6: Final answer
    x = 505.63

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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.