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Finding the Fourth Proportional to 1,144.48, 1,709.08 and 898.24

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Solution

The fourth proportional to 1,144.48, 1,709.08 and 898.24 is: 1,341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.48 : 1,709.08 = 898.24 : x
  2. Step 2: Convert to fraction form
    1,144.48/1,709.08 = 898.24/x
  3. Step 3: Cross multiply
    1,144.48x = 1,709.08 × 898.24
  4. Step 4: Simplify right side
    1,144.48x = 1,535,164.02
  5. Step 5: Solve for x
    x = 1,535,164.02/1,144.48
  6. Step 6: Final answer
    x = 1,341.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.