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Finding the Fourth Proportional to 897.69, 1,344.93 and 766.35

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Solution

The fourth proportional to 897.69, 1,344.93 and 766.35 is: 1,148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.69 : 1,344.93 = 766.35 : x
  2. Step 2: Convert to fraction form
    897.69/1,344.93 = 766.35/x
  3. Step 3: Cross multiply
    897.69x = 1,344.93 × 766.35
  4. Step 4: Simplify right side
    897.69x = 1,030,687.11
  5. Step 5: Solve for x
    x = 1,030,687.11/897.69
  6. Step 6: Final answer
    x = 1,148.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.