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Finding the Fourth Proportional to 564.16, 841.04 and 518.08

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Solution

The fourth proportional to 564.16, 841.04 and 518.08 is: 772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.16 : 841.04 = 518.08 : x
  2. Step 2: Convert to fraction form
    564.16/841.04 = 518.08/x
  3. Step 3: Cross multiply
    564.16x = 841.04 × 518.08
  4. Step 4: Simplify right side
    564.16x = 435,726.00
  5. Step 5: Solve for x
    x = 435,726.00/564.16
  6. Step 6: Final answer
    x = 772.34

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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.