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Finding the Fourth Proportional to 897.36, 1,238.54 and 603.06

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Solution

The fourth proportional to 897.36, 1,238.54 and 603.06 is: 832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.36 : 1,238.54 = 603.06 : x
  2. Step 2: Convert to fraction form
    897.36/1,238.54 = 603.06/x
  3. Step 3: Cross multiply
    897.36x = 1,238.54 × 603.06
  4. Step 4: Simplify right side
    897.36x = 746,910.92
  5. Step 5: Solve for x
    x = 746,910.92/897.36
  6. Step 6: Final answer
    x = 832.34

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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.