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Finding the Fourth Proportional to 735.04, 1,013.61 and 630.51

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Solution

The fourth proportional to 735.04, 1,013.61 and 630.51 is: 869.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.04 : 1,013.61 = 630.51 : x
  2. Step 2: Convert to fraction form
    735.04/1,013.61 = 630.51/x
  3. Step 3: Cross multiply
    735.04x = 1,013.61 × 630.51
  4. Step 4: Simplify right side
    735.04x = 639,091.24
  5. Step 5: Solve for x
    x = 639,091.24/735.04
  6. Step 6: Final answer
    x = 869.46

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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.