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Finding the Fourth Proportional to 565.36, 780 and 344.16

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Solution

The fourth proportional to 565.36, 780 and 344.16 is: 474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.36 : 780 = 344.16 : x
  2. Step 2: Convert to fraction form
    565.36/780 = 344.16/x
  3. Step 3: Cross multiply
    565.36x = 780 × 344.16
  4. Step 4: Simplify right side
    565.36x = 268,444.80
  5. Step 5: Solve for x
    x = 268,444.80/565.36
  6. Step 6: Final answer
    x = 474.82

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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.