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Finding the Fourth Proportional to 564.24, 777.73 and 342.78

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Solution

The fourth proportional to 564.24, 777.73 and 342.78 is: 472.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.24 : 777.73 = 342.78 : x
  2. Step 2: Convert to fraction form
    564.24/777.73 = 342.78/x
  3. Step 3: Cross multiply
    564.24x = 777.73 × 342.78
  4. Step 4: Simplify right side
    564.24x = 266,590.29
  5. Step 5: Solve for x
    x = 266,590.29/564.24
  6. Step 6: Final answer
    x = 472.48

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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.