Home / 1,164.02-1,746.77-547.70

Finding the Fourth Proportional to 1,164.02, 1,746.77 and 547.70

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Solution

The fourth proportional to 1,164.02, 1,746.77 and 547.70 is: 821.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.02 : 1,746.77 = 547.70 : x
  2. Step 2: Convert to fraction form
    1,164.02/1,746.77 = 547.70/x
  3. Step 3: Cross multiply
    1,164.02x = 1,746.77 × 547.70
  4. Step 4: Simplify right side
    1,164.02x = 956,694.46
  5. Step 5: Solve for x
    x = 956,694.46/1,164.02
  6. Step 6: Final answer
    x = 821.89

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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.