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Finding the Fourth Proportional to 1,013.63, 1,398.81 and 703.31

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Solution

The fourth proportional to 1,013.63, 1,398.81 and 703.31 is: 970.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.63 : 1,398.81 = 703.31 : x
  2. Step 2: Convert to fraction form
    1,013.63/1,398.81 = 703.31/x
  3. Step 3: Cross multiply
    1,013.63x = 1,398.81 × 703.31
  4. Step 4: Simplify right side
    1,013.63x = 983,790.07
  5. Step 5: Solve for x
    x = 983,790.07/1,013.63
  6. Step 6: Final answer
    x = 970.57

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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.