Home / 1,705.10-2,555.67-975.17

Finding the Fourth Proportional to 1,705.10, 2,555.67 and 975.17

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Solution

The fourth proportional to 1,705.10, 2,555.67 and 975.17 is: 1,461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.10 : 2,555.67 = 975.17 : x
  2. Step 2: Convert to fraction form
    1,705.10/2,555.67 = 975.17/x
  3. Step 3: Cross multiply
    1,705.10x = 2,555.67 × 975.17
  4. Step 4: Simplify right side
    1,705.10x = 2,492,212.71
  5. Step 5: Solve for x
    x = 2,492,212.71/1,705.10
  6. Step 6: Final answer
    x = 1,461.62

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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.