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Finding the Fourth Proportional to 706.38, 973.59 and 607.74

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Solution

The fourth proportional to 706.38, 973.59 and 607.74 is: 837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.38 : 973.59 = 607.74 : x
  2. Step 2: Convert to fraction form
    706.38/973.59 = 607.74/x
  3. Step 3: Cross multiply
    706.38x = 973.59 × 607.74
  4. Step 4: Simplify right side
    706.38x = 591,689.59
  5. Step 5: Solve for x
    x = 591,689.59/706.38
  6. Step 6: Final answer
    x = 837.64

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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.