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Finding the Fourth Proportional to 563.68, 778.02 and 342.75

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Solution

The fourth proportional to 563.68, 778.02 and 342.75 is: 473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.68 : 778.02 = 342.75 : x
  2. Step 2: Convert to fraction form
    563.68/778.02 = 342.75/x
  3. Step 3: Cross multiply
    563.68x = 778.02 × 342.75
  4. Step 4: Simplify right side
    563.68x = 266,666.36
  5. Step 5: Solve for x
    x = 266,666.36/563.68
  6. Step 6: Final answer
    x = 473.09

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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.