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Finding the Fourth Proportional to 542.75, 810.77 and 434.66

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Solution

The fourth proportional to 542.75, 810.77 and 434.66 is: 649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.75 : 810.77 = 434.66 : x
  2. Step 2: Convert to fraction form
    542.75/810.77 = 434.66/x
  3. Step 3: Cross multiply
    542.75x = 810.77 × 434.66
  4. Step 4: Simplify right side
    542.75x = 352,403.06
  5. Step 5: Solve for x
    x = 352,403.06/542.75
  6. Step 6: Final answer
    x = 649.30

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Double scale
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1.5x scale

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.