Home / 1,685.40-2,523.69-904.02

Finding the Fourth Proportional to 1,685.40, 2,523.69 and 904.02

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Solution

The fourth proportional to 1,685.40, 2,523.69 and 904.02 is: 1,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.40 : 2,523.69 = 904.02 : x
  2. Step 2: Convert to fraction form
    1,685.40/2,523.69 = 904.02/x
  3. Step 3: Cross multiply
    1,685.40x = 2,523.69 × 904.02
  4. Step 4: Simplify right side
    1,685.40x = 2,281,466.23
  5. Step 5: Solve for x
    x = 2,281,466.23/1,685.40
  6. Step 6: Final answer
    x = 1,353.66

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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.