Home / 1,664.85-2,497.16-569.19

Finding the Fourth Proportional to 1,664.85, 2,497.16 and 569.19

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Solution

The fourth proportional to 1,664.85, 2,497.16 and 569.19 is: 853.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.85 : 2,497.16 = 569.19 : x
  2. Step 2: Convert to fraction form
    1,664.85/2,497.16 = 569.19/x
  3. Step 3: Cross multiply
    1,664.85x = 2,497.16 × 569.19
  4. Step 4: Simplify right side
    1,664.85x = 1,421,343.17
  5. Step 5: Solve for x
    x = 1,421,343.17/1,664.85
  6. Step 6: Final answer
    x = 853.74

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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.