Home / 1,705.60-2,554.29-972.96

Finding the Fourth Proportional to 1,705.60, 2,554.29 and 972.96

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Solution

The fourth proportional to 1,705.60, 2,554.29 and 972.96 is: 1,457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.60 : 2,554.29 = 972.96 : x
  2. Step 2: Convert to fraction form
    1,705.60/2,554.29 = 972.96/x
  3. Step 3: Cross multiply
    1,705.60x = 2,554.29 × 972.96
  4. Step 4: Simplify right side
    1,705.60x = 2,485,209.23
  5. Step 5: Solve for x
    x = 2,485,209.23/1,705.60
  6. Step 6: Final answer
    x = 1,457.09

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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.