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Finding the Fourth Proportional to 564.30, 778.95 and 488.28

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Solution

The fourth proportional to 564.30, 778.95 and 488.28 is: 674.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.30 : 778.95 = 488.28 : x
  2. Step 2: Convert to fraction form
    564.30/778.95 = 488.28/x
  3. Step 3: Cross multiply
    564.30x = 778.95 × 488.28
  4. Step 4: Simplify right side
    564.30x = 380,345.71
  5. Step 5: Solve for x
    x = 380,345.71/564.30
  6. Step 6: Final answer
    x = 674.01

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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.