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Finding the Fourth Proportional to 1,665.35, 2,497.91 and 569.69

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Solution

The fourth proportional to 1,665.35, 2,497.91 and 569.69 is: 854.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.35 : 2,497.91 = 569.69 : x
  2. Step 2: Convert to fraction form
    1,665.35/2,497.91 = 569.69/x
  3. Step 3: Cross multiply
    1,665.35x = 2,497.91 × 569.69
  4. Step 4: Simplify right side
    1,665.35x = 1,423,019.01
  5. Step 5: Solve for x
    x = 1,423,019.01/1,665.35
  6. Step 6: Final answer
    x = 854.49

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1.5x scale

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.