Home / 1,772.48-2,654.40-904.16

Finding the Fourth Proportional to 1,772.48, 2,654.40 and 904.16

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Solution

The fourth proportional to 1,772.48, 2,654.40 and 904.16 is: 1,354.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.48 : 2,654.40 = 904.16 : x
  2. Step 2: Convert to fraction form
    1,772.48/2,654.40 = 904.16/x
  3. Step 3: Cross multiply
    1,772.48x = 2,654.40 × 904.16
  4. Step 4: Simplify right side
    1,772.48x = 2,400,002.30
  5. Step 5: Solve for x
    x = 2,400,002.30/1,772.48
  6. Step 6: Final answer
    x = 1,354.04

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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.