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Finding the Fourth Proportional to 856.59, 1,284.93 and 567.42

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Solution

The fourth proportional to 856.59, 1,284.93 and 567.42 is: 851.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.59 : 1,284.93 = 567.42 : x
  2. Step 2: Convert to fraction form
    856.59/1,284.93 = 567.42/x
  3. Step 3: Cross multiply
    856.59x = 1,284.93 × 567.42
  4. Step 4: Simplify right side
    856.59x = 729,094.98
  5. Step 5: Solve for x
    x = 729,094.98/856.59
  6. Step 6: Final answer
    x = 851.16

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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.