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Finding the Fourth Proportional to 664.04, 914.70 and 569.18

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Solution

The fourth proportional to 664.04, 914.70 and 569.18 is: 784.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.04 : 914.70 = 569.18 : x
  2. Step 2: Convert to fraction form
    664.04/914.70 = 569.18/x
  3. Step 3: Cross multiply
    664.04x = 914.70 × 569.18
  4. Step 4: Simplify right side
    664.04x = 520,628.95
  5. Step 5: Solve for x
    x = 520,628.95/664.04
  6. Step 6: Final answer
    x = 784.03

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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.