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Finding the Fourth Proportional to 710.42, 1,058.34 and 684.30

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Solution

The fourth proportional to 710.42, 1,058.34 and 684.30 is: 1,019.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.42 : 1,058.34 = 684.30 : x
  2. Step 2: Convert to fraction form
    710.42/1,058.34 = 684.30/x
  3. Step 3: Cross multiply
    710.42x = 1,058.34 × 684.30
  4. Step 4: Simplify right side
    710.42x = 724,222.06
  5. Step 5: Solve for x
    x = 724,222.06/710.42
  6. Step 6: Final answer
    x = 1,019.43

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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.