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Finding the Fourth Proportional to 897.24, 1,233.72 and 766.02

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Solution

The fourth proportional to 897.24, 1,233.72 and 766.02 is: 1,053.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.24 : 1,233.72 = 766.02 : x
  2. Step 2: Convert to fraction form
    897.24/1,233.72 = 766.02/x
  3. Step 3: Cross multiply
    897.24x = 1,233.72 × 766.02
  4. Step 4: Simplify right side
    897.24x = 945,054.19
  5. Step 5: Solve for x
    x = 945,054.19/897.24
  6. Step 6: Final answer
    x = 1,053.29

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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.