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Finding the Fourth Proportional to 569.18, 784.64 and 490.15

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Solution

The fourth proportional to 569.18, 784.64 and 490.15 is: 675.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.18 : 784.64 = 490.15 : x
  2. Step 2: Convert to fraction form
    569.18/784.64 = 490.15/x
  3. Step 3: Cross multiply
    569.18x = 784.64 × 490.15
  4. Step 4: Simplify right side
    569.18x = 384,590.75
  5. Step 5: Solve for x
    x = 384,590.75/569.18
  6. Step 6: Final answer
    x = 675.70

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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.