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Finding the Fourth Proportional to 564.48, 779.52 and 465.12

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Solution

The fourth proportional to 564.48, 779.52 and 465.12 is: 642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.48 : 779.52 = 465.12 : x
  2. Step 2: Convert to fraction form
    564.48/779.52 = 465.12/x
  3. Step 3: Cross multiply
    564.48x = 779.52 × 465.12
  4. Step 4: Simplify right side
    564.48x = 362,570.34
  5. Step 5: Solve for x
    x = 362,570.34/564.48
  6. Step 6: Final answer
    x = 642.31

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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.