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Finding the Fourth Proportional to 914.54, 1,365.50 and 784.32

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Solution

The fourth proportional to 914.54, 1,365.50 and 784.32 is: 1,171.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.54 : 1,365.50 = 784.32 : x
  2. Step 2: Convert to fraction form
    914.54/1,365.50 = 784.32/x
  3. Step 3: Cross multiply
    914.54x = 1,365.50 × 784.32
  4. Step 4: Simplify right side
    914.54x = 1,070,988.96
  5. Step 5: Solve for x
    x = 1,070,988.96/914.54
  6. Step 6: Final answer
    x = 1,171.07

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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.