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Finding the Fourth Proportional to 973.84, 1,345.80 and 865.84

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Solution

The fourth proportional to 973.84, 1,345.80 and 865.84 is: 1,196.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.84 : 1,345.80 = 865.84 : x
  2. Step 2: Convert to fraction form
    973.84/1,345.80 = 865.84/x
  3. Step 3: Cross multiply
    973.84x = 1,345.80 × 865.84
  4. Step 4: Simplify right side
    973.84x = 1,165,247.47
  5. Step 5: Solve for x
    x = 1,165,247.47/973.84
  6. Step 6: Final answer
    x = 1,196.55

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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.