Home / 1,164.51-1,746.12-547.90

Finding the Fourth Proportional to 1,164.51, 1,746.12 and 547.90

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Solution

The fourth proportional to 1,164.51, 1,746.12 and 547.90 is: 821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.51 : 1,746.12 = 547.90 : x
  2. Step 2: Convert to fraction form
    1,164.51/1,746.12 = 547.90/x
  3. Step 3: Cross multiply
    1,164.51x = 1,746.12 × 547.90
  4. Step 4: Simplify right side
    1,164.51x = 956,696.84
  5. Step 5: Solve for x
    x = 956,696.84/1,164.51
  6. Step 6: Final answer
    x = 821.54

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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.