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Finding the Fourth Proportional to 741.83, 1,022.63 and 545.00

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Solution

The fourth proportional to 741.83, 1,022.63 and 545.00 is: 751.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.83 : 1,022.63 = 545.00 : x
  2. Step 2: Convert to fraction form
    741.83/1,022.63 = 545.00/x
  3. Step 3: Cross multiply
    741.83x = 1,022.63 × 545.00
  4. Step 4: Simplify right side
    741.83x = 557,325.51
  5. Step 5: Solve for x
    x = 557,325.51/741.83
  6. Step 6: Final answer
    x = 751.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.