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Finding the Fourth Proportional to 568.08, 856.98 and 545.40

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Solution

The fourth proportional to 568.08, 856.98 and 545.40 is: 822.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.08 : 856.98 = 545.40 : x
  2. Step 2: Convert to fraction form
    568.08/856.98 = 545.40/x
  3. Step 3: Cross multiply
    568.08x = 856.98 × 545.40
  4. Step 4: Simplify right side
    568.08x = 467,396.89
  5. Step 5: Solve for x
    x = 467,396.89/568.08
  6. Step 6: Final answer
    x = 822.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.