Home / 1,564.59-2,343.70-904.55

Finding the Fourth Proportional to 1,564.59, 2,343.70 and 904.55

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Solution

The fourth proportional to 1,564.59, 2,343.70 and 904.55 is: 1,354.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.59 : 2,343.70 = 904.55 : x
  2. Step 2: Convert to fraction form
    1,564.59/2,343.70 = 904.55/x
  3. Step 3: Cross multiply
    1,564.59x = 2,343.70 × 904.55
  4. Step 4: Simplify right side
    1,564.59x = 2,119,983.25
  5. Step 5: Solve for x
    x = 2,119,983.25/1,564.59
  6. Step 6: Final answer
    x = 1,354.97

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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.