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Finding the Fourth Proportional to 973, 1,346.16 and 832.78

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Solution

The fourth proportional to 973, 1,346.16 and 832.78 is: 1,152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    973 : 1,346.16 = 832.78 : x
  2. Step 2: Convert to fraction form
    973/1,346.16 = 832.78/x
  3. Step 3: Cross multiply
    973x = 1,346.16 × 832.78
  4. Step 4: Simplify right side
    973x = 1,121,055.12
  5. Step 5: Solve for x
    x = 1,121,055.12/973
  6. Step 6: Final answer
    x = 1,152.16

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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.