Home / 1,417.32-2,123.78-595.14

Finding the Fourth Proportional to 1,417.32, 2,123.78 and 595.14

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Solution

The fourth proportional to 1,417.32, 2,123.78 and 595.14 is: 891.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.32 : 2,123.78 = 595.14 : x
  2. Step 2: Convert to fraction form
    1,417.32/2,123.78 = 595.14/x
  3. Step 3: Cross multiply
    1,417.32x = 2,123.78 × 595.14
  4. Step 4: Simplify right side
    1,417.32x = 1,263,946.43
  5. Step 5: Solve for x
    x = 1,263,946.43/1,417.32
  6. Step 6: Final answer
    x = 891.79

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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.