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Finding the Fourth Proportional to 584.28, 801.36 and 569.64

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Solution

The fourth proportional to 584.28, 801.36 and 569.64 is: 781.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.28 : 801.36 = 569.64 : x
  2. Step 2: Convert to fraction form
    584.28/801.36 = 569.64/x
  3. Step 3: Cross multiply
    584.28x = 801.36 × 569.64
  4. Step 4: Simplify right side
    584.28x = 456,486.71
  5. Step 5: Solve for x
    x = 456,486.71/584.28
  6. Step 6: Final answer
    x = 781.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.