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Finding the Fourth Proportional to 706.02, 974.41 and 587.82

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Solution

The fourth proportional to 706.02, 974.41 and 587.82 is: 811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.02 : 974.41 = 587.82 : x
  2. Step 2: Convert to fraction form
    706.02/974.41 = 587.82/x
  3. Step 3: Cross multiply
    706.02x = 974.41 × 587.82
  4. Step 4: Simplify right side
    706.02x = 572,779.87
  5. Step 5: Solve for x
    x = 572,779.87/706.02
  6. Step 6: Final answer
    x = 811.28

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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.