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Finding the Fourth Proportional to 534.48, 804.54 and 487.77

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Solution

The fourth proportional to 534.48, 804.54 and 487.77 is: 734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.48 : 804.54 = 487.77 : x
  2. Step 2: Convert to fraction form
    534.48/804.54 = 487.77/x
  3. Step 3: Cross multiply
    534.48x = 804.54 × 487.77
  4. Step 4: Simplify right side
    534.48x = 392,430.48
  5. Step 5: Solve for x
    x = 392,430.48/534.48
  6. Step 6: Final answer
    x = 734.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.