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Finding the Fourth Proportional to 535, 801.59 and 380.16

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Solution

The fourth proportional to 535, 801.59 and 380.16 is: 569.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    535 : 801.59 = 380.16 : x
  2. Step 2: Convert to fraction form
    535/801.59 = 380.16/x
  3. Step 3: Cross multiply
    535x = 801.59 × 380.16
  4. Step 4: Simplify right side
    535x = 304,732.45
  5. Step 5: Solve for x
    x = 304,732.45/535
  6. Step 6: Final answer
    x = 569.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.