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Finding the Fourth Proportional to 1,655.36, 2,478.40 and 884.16

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Solution

The fourth proportional to 1,655.36, 2,478.40 and 884.16 is: 1,323.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.36 : 2,478.40 = 884.16 : x
  2. Step 2: Convert to fraction form
    1,655.36/2,478.40 = 884.16/x
  3. Step 3: Cross multiply
    1,655.36x = 2,478.40 × 884.16
  4. Step 4: Simplify right side
    1,655.36x = 2,191,302.14
  5. Step 5: Solve for x
    x = 2,191,302.14/1,655.36
  6. Step 6: Final answer
    x = 1,323.76

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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.