Home / 1,569.35-2,353.75-458.82

Finding the Fourth Proportional to 1,569.35, 2,353.75 and 458.82

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Solution

The fourth proportional to 1,569.35, 2,353.75 and 458.82 is: 688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.35 : 2,353.75 = 458.82 : x
  2. Step 2: Convert to fraction form
    1,569.35/2,353.75 = 458.82/x
  3. Step 3: Cross multiply
    1,569.35x = 2,353.75 × 458.82
  4. Step 4: Simplify right side
    1,569.35x = 1,079,946.43
  5. Step 5: Solve for x
    x = 1,079,946.43/1,569.35
  6. Step 6: Final answer
    x = 688.15

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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.