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Finding the Fourth Proportional to 703.09, 1,058.31 and 597.39

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Solution

The fourth proportional to 703.09, 1,058.31 and 597.39 is: 899.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.09 : 1,058.31 = 597.39 : x
  2. Step 2: Convert to fraction form
    703.09/1,058.31 = 597.39/x
  3. Step 3: Cross multiply
    703.09x = 1,058.31 × 597.39
  4. Step 4: Simplify right side
    703.09x = 632,223.81
  5. Step 5: Solve for x
    x = 632,223.81/703.09
  6. Step 6: Final answer
    x = 899.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.