Home / 1,164.48-1,747.20-434.64

Finding the Fourth Proportional to 1,164.48, 1,747.20 and 434.64

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Solution

The fourth proportional to 1,164.48, 1,747.20 and 434.64 is: 652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.48 : 1,747.20 = 434.64 : x
  2. Step 2: Convert to fraction form
    1,164.48/1,747.20 = 434.64/x
  3. Step 3: Cross multiply
    1,164.48x = 1,747.20 × 434.64
  4. Step 4: Simplify right side
    1,164.48x = 759,403.01
  5. Step 5: Solve for x
    x = 759,403.01/1,164.48
  6. Step 6: Final answer
    x = 652.14

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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.