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Finding the Fourth Proportional to 565.22, 848.61 and 291.50

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Solution

The fourth proportional to 565.22, 848.61 and 291.50 is: 437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.22 : 848.61 = 291.50 : x
  2. Step 2: Convert to fraction form
    565.22/848.61 = 291.50/x
  3. Step 3: Cross multiply
    565.22x = 848.61 × 291.50
  4. Step 4: Simplify right side
    565.22x = 247,371.94
  5. Step 5: Solve for x
    x = 247,371.94/565.22
  6. Step 6: Final answer
    x = 437.66

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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.