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Finding the Fourth Proportional to 735.13, 1,014.50 and 403.57

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Solution

The fourth proportional to 735.13, 1,014.50 and 403.57 is: 556.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.13 : 1,014.50 = 403.57 : x
  2. Step 2: Convert to fraction form
    735.13/1,014.50 = 403.57/x
  3. Step 3: Cross multiply
    735.13x = 1,014.50 × 403.57
  4. Step 4: Simplify right side
    735.13x = 409,421.77
  5. Step 5: Solve for x
    x = 409,421.77/735.13
  6. Step 6: Final answer
    x = 556.94

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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.