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Finding the Fourth Proportional to 712.08, 981.99 and 607.05

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Solution

The fourth proportional to 712.08, 981.99 and 607.05 is: 837.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.08 : 981.99 = 607.05 : x
  2. Step 2: Convert to fraction form
    712.08/981.99 = 607.05/x
  3. Step 3: Cross multiply
    712.08x = 981.99 × 607.05
  4. Step 4: Simplify right side
    712.08x = 596,117.03
  5. Step 5: Solve for x
    x = 596,117.03/712.08
  6. Step 6: Final answer
    x = 837.15

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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.