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Finding the Fourth Proportional to 565.62, 780.65 and 355.87

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Solution

The fourth proportional to 565.62, 780.65 and 355.87 is: 491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.62 : 780.65 = 355.87 : x
  2. Step 2: Convert to fraction form
    565.62/780.65 = 355.87/x
  3. Step 3: Cross multiply
    565.62x = 780.65 × 355.87
  4. Step 4: Simplify right side
    565.62x = 277,809.92
  5. Step 5: Solve for x
    x = 277,809.92/565.62
  6. Step 6: Final answer
    x = 491.16

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