Home / 1,640.29-2,460.53-470.20

Finding the Fourth Proportional to 1,640.29, 2,460.53 and 470.20

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Solution

The fourth proportional to 1,640.29, 2,460.53 and 470.20 is: 705.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.29 : 2,460.53 = 470.20 : x
  2. Step 2: Convert to fraction form
    1,640.29/2,460.53 = 470.20/x
  3. Step 3: Cross multiply
    1,640.29x = 2,460.53 × 470.20
  4. Step 4: Simplify right side
    1,640.29x = 1,156,941.21
  5. Step 5: Solve for x
    x = 1,156,941.21/1,640.29
  6. Step 6: Final answer
    x = 705.33

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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.