Home / 1,164.56-1,746.30-470.68

Finding the Fourth Proportional to 1,164.56, 1,746.30 and 470.68

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Solution

The fourth proportional to 1,164.56, 1,746.30 and 470.68 is: 705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.56 : 1,746.30 = 470.68 : x
  2. Step 2: Convert to fraction form
    1,164.56/1,746.30 = 470.68/x
  3. Step 3: Cross multiply
    1,164.56x = 1,746.30 × 470.68
  4. Step 4: Simplify right side
    1,164.56x = 821,948.48
  5. Step 5: Solve for x
    x = 821,948.48/1,164.56
  6. Step 6: Final answer
    x = 705.80

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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.