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Finding the Fourth Proportional to 565.75, 848.61 and 277.39

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Solution

The fourth proportional to 565.75, 848.61 and 277.39 is: 416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.75 : 848.61 = 277.39 : x
  2. Step 2: Convert to fraction form
    565.75/848.61 = 277.39/x
  3. Step 3: Cross multiply
    565.75x = 848.61 × 277.39
  4. Step 4: Simplify right side
    565.75x = 235,395.93
  5. Step 5: Solve for x
    x = 235,395.93/565.75
  6. Step 6: Final answer
    x = 416.08

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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.