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Finding the Fourth Proportional to 973.61, 1,453.80 and 765.84

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Solution

The fourth proportional to 973.61, 1,453.80 and 765.84 is: 1,143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.61 : 1,453.80 = 765.84 : x
  2. Step 2: Convert to fraction form
    973.61/1,453.80 = 765.84/x
  3. Step 3: Cross multiply
    973.61x = 1,453.80 × 765.84
  4. Step 4: Simplify right side
    973.61x = 1,113,378.19
  5. Step 5: Solve for x
    x = 1,113,378.19/973.61
  6. Step 6: Final answer
    x = 1,143.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.