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Finding the Fourth Proportional to 735.36, 1,013.55 and 513.93

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Solution

The fourth proportional to 735.36, 1,013.55 and 513.93 is: 708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.36 : 1,013.55 = 513.93 : x
  2. Step 2: Convert to fraction form
    735.36/1,013.55 = 513.93/x
  3. Step 3: Cross multiply
    735.36x = 1,013.55 × 513.93
  4. Step 4: Simplify right side
    735.36x = 520,893.75
  5. Step 5: Solve for x
    x = 520,893.75/735.36
  6. Step 6: Final answer
    x = 708.35

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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.