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Finding the Fourth Proportional to 565.59, 780.00 and 388.24

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Solution

The fourth proportional to 565.59, 780.00 and 388.24 is: 535.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.59 : 780.00 = 388.24 : x
  2. Step 2: Convert to fraction form
    565.59/780.00 = 388.24/x
  3. Step 3: Cross multiply
    565.59x = 780.00 × 388.24
  4. Step 4: Simplify right side
    565.59x = 302,825.26
  5. Step 5: Solve for x
    x = 302,825.26/565.59
  6. Step 6: Final answer
    x = 535.41

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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.