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Finding the Fourth Proportional to 705.34, 1,062.80 and 586.27

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Solution

The fourth proportional to 705.34, 1,062.80 and 586.27 is: 883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.34 : 1,062.80 = 586.27 : x
  2. Step 2: Convert to fraction form
    705.34/1,062.80 = 586.27/x
  3. Step 3: Cross multiply
    705.34x = 1,062.80 × 586.27
  4. Step 4: Simplify right side
    705.34x = 623,087.76
  5. Step 5: Solve for x
    x = 623,087.76/705.34
  6. Step 6: Final answer
    x = 883.39

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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.