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Finding the Fourth Proportional to 543.87, 811.40 and 465.93

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Solution

The fourth proportional to 543.87, 811.40 and 465.93 is: 695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.87 : 811.40 = 465.93 : x
  2. Step 2: Convert to fraction form
    543.87/811.40 = 465.93/x
  3. Step 3: Cross multiply
    543.87x = 811.40 × 465.93
  4. Step 4: Simplify right side
    543.87x = 378,053.27
  5. Step 5: Solve for x
    x = 378,053.27/543.87
  6. Step 6: Final answer
    x = 695.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.