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Finding the Fourth Proportional to 569.90, 855.58 and 296.18

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Solution

The fourth proportional to 569.90, 855.58 and 296.18 is: 444.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.90 : 855.58 = 296.18 : x
  2. Step 2: Convert to fraction form
    569.90/855.58 = 296.18/x
  3. Step 3: Cross multiply
    569.90x = 855.58 × 296.18
  4. Step 4: Simplify right side
    569.90x = 253,402.83
  5. Step 5: Solve for x
    x = 253,402.83/569.90
  6. Step 6: Final answer
    x = 444.65

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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.