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Finding the Fourth Proportional to 707.64, 983.29 and 700.04

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Solution

The fourth proportional to 707.64, 983.29 and 700.04 is: 972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.64 : 983.29 = 700.04 : x
  2. Step 2: Convert to fraction form
    707.64/983.29 = 700.04/x
  3. Step 3: Cross multiply
    707.64x = 983.29 × 700.04
  4. Step 4: Simplify right side
    707.64x = 688,344.35
  5. Step 5: Solve for x
    x = 688,344.35/707.64
  6. Step 6: Final answer
    x = 972.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.