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Finding the Fourth Proportional to 897.43, 1,238.19 and 603.13

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Solution

The fourth proportional to 897.43, 1,238.19 and 603.13 is: 832.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.43 : 1,238.19 = 603.13 : x
  2. Step 2: Convert to fraction form
    897.43/1,238.19 = 603.13/x
  3. Step 3: Cross multiply
    897.43x = 1,238.19 × 603.13
  4. Step 4: Simplify right side
    897.43x = 746,789.53
  5. Step 5: Solve for x
    x = 746,789.53/897.43
  6. Step 6: Final answer
    x = 832.14

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.