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Finding the Fourth Proportional to 897.13, 1,237.68 and 661.64

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Solution

The fourth proportional to 897.13, 1,237.68 and 661.64 is: 912.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.13 : 1,237.68 = 661.64 : x
  2. Step 2: Convert to fraction form
    897.13/1,237.68 = 661.64/x
  3. Step 3: Cross multiply
    897.13x = 1,237.68 × 661.64
  4. Step 4: Simplify right side
    897.13x = 818,898.02
  5. Step 5: Solve for x
    x = 818,898.02/897.13
  6. Step 6: Final answer
    x = 912.80

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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.