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Finding the Fourth Proportional to 565.32, 780.12 and 344.28

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Solution

The fourth proportional to 565.32, 780.12 and 344.28 is: 475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.32 : 780.12 = 344.28 : x
  2. Step 2: Convert to fraction form
    565.32/780.12 = 344.28/x
  3. Step 3: Cross multiply
    565.32x = 780.12 × 344.28
  4. Step 4: Simplify right side
    565.32x = 268,579.71
  5. Step 5: Solve for x
    x = 268,579.71/565.32
  6. Step 6: Final answer
    x = 475.09

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Double scale
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1.5x scale

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.