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Finding the Fourth Proportional to 564.71, 779.83 and 368.69

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Solution

The fourth proportional to 564.71, 779.83 and 368.69 is: 509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.71 : 779.83 = 368.69 : x
  2. Step 2: Convert to fraction form
    564.71/779.83 = 368.69/x
  3. Step 3: Cross multiply
    564.71x = 779.83 × 368.69
  4. Step 4: Simplify right side
    564.71x = 287,510.70
  5. Step 5: Solve for x
    x = 287,510.70/564.71
  6. Step 6: Final answer
    x = 509.13

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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.