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Finding the Fourth Proportional to 557.03, 835.10 and 313.49

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Solution

The fourth proportional to 557.03, 835.10 and 313.49 is: 469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.03 : 835.10 = 313.49 : x
  2. Step 2: Convert to fraction form
    557.03/835.10 = 313.49/x
  3. Step 3: Cross multiply
    557.03x = 835.10 × 313.49
  4. Step 4: Simplify right side
    557.03x = 261,791.32
  5. Step 5: Solve for x
    x = 261,791.32/557.03
  6. Step 6: Final answer
    x = 469.98

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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.