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Finding the Fourth Proportional to 565.95, 780.37 and 355.87

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Solution

The fourth proportional to 565.95, 780.37 and 355.87 is: 490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.95 : 780.37 = 355.87 : x
  2. Step 2: Convert to fraction form
    565.95/780.37 = 355.87/x
  3. Step 3: Cross multiply
    565.95x = 780.37 × 355.87
  4. Step 4: Simplify right side
    565.95x = 277,707.26
  5. Step 5: Solve for x
    x = 277,707.26/565.95
  6. Step 6: Final answer
    x = 490.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.