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Finding the Fourth Proportional to 565.49, 780.36 and 400.07

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Solution

The fourth proportional to 565.49, 780.36 and 400.07 is: 552.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.49 : 780.36 = 400.07 : x
  2. Step 2: Convert to fraction form
    565.49/780.36 = 400.07/x
  3. Step 3: Cross multiply
    565.49x = 780.36 × 400.07
  4. Step 4: Simplify right side
    565.49x = 312,198.63
  5. Step 5: Solve for x
    x = 312,198.63/565.49
  6. Step 6: Final answer
    x = 552.09

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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.