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Finding the Fourth Proportional to 564.80, 841.60 and 528.36

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Solution

The fourth proportional to 564.80, 841.60 and 528.36 is: 787.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.80 : 841.60 = 528.36 : x
  2. Step 2: Convert to fraction form
    564.80/841.60 = 528.36/x
  3. Step 3: Cross multiply
    564.80x = 841.60 × 528.36
  4. Step 4: Simplify right side
    564.80x = 444,667.78
  5. Step 5: Solve for x
    x = 444,667.78/564.80
  6. Step 6: Final answer
    x = 787.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.