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Finding the Fourth Proportional to 564.91, 779.70 and 368.08

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Solution

The fourth proportional to 564.91, 779.70 and 368.08 is: 508.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.91 : 779.70 = 368.08 : x
  2. Step 2: Convert to fraction form
    564.91/779.70 = 368.08/x
  3. Step 3: Cross multiply
    564.91x = 779.70 × 368.08
  4. Step 4: Simplify right side
    564.91x = 286,991.98
  5. Step 5: Solve for x
    x = 286,991.98/564.91
  6. Step 6: Final answer
    x = 508.03

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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.