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Finding the Fourth Proportional to 709.02, 1,058.81 and 701.39

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Solution

The fourth proportional to 709.02, 1,058.81 and 701.39 is: 1,047.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.02 : 1,058.81 = 701.39 : x
  2. Step 2: Convert to fraction form
    709.02/1,058.81 = 701.39/x
  3. Step 3: Cross multiply
    709.02x = 1,058.81 × 701.39
  4. Step 4: Simplify right side
    709.02x = 742,637.89
  5. Step 5: Solve for x
    x = 742,637.89/709.02
  6. Step 6: Final answer
    x = 1,047.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.