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Finding the Fourth Proportional to 897.78, 1,237.23 and 648.64

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Solution

The fourth proportional to 897.78, 1,237.23 and 648.64 is: 893.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.78 : 1,237.23 = 648.64 : x
  2. Step 2: Convert to fraction form
    897.78/1,237.23 = 648.64/x
  3. Step 3: Cross multiply
    897.78x = 1,237.23 × 648.64
  4. Step 4: Simplify right side
    897.78x = 802,516.87
  5. Step 5: Solve for x
    x = 802,516.87/897.78
  6. Step 6: Final answer
    x = 893.89

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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.