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Finding the Fourth Proportional to 564.95, 779.61 and 368.42

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Solution

The fourth proportional to 564.95, 779.61 and 368.42 is: 508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.95 : 779.61 = 368.42 : x
  2. Step 2: Convert to fraction form
    564.95/779.61 = 368.42/x
  3. Step 3: Cross multiply
    564.95x = 779.61 × 368.42
  4. Step 4: Simplify right side
    564.95x = 287,220.02
  5. Step 5: Solve for x
    x = 287,220.02/564.95
  6. Step 6: Final answer
    x = 508.40

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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.