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Finding the Fourth Proportional to 897.32, 1,237 and 648.25

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Solution

The fourth proportional to 897.32, 1,237 and 648.25 is: 893.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.32 : 1,237 = 648.25 : x
  2. Step 2: Convert to fraction form
    897.32/1,237 = 648.25/x
  3. Step 3: Cross multiply
    897.32x = 1,237 × 648.25
  4. Step 4: Simplify right side
    897.32x = 801,879.07
  5. Step 5: Solve for x
    x = 801,879.07/897.32
  6. Step 6: Final answer
    x = 893.64

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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.