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Finding the Fourth Proportional to 703.51, 972.15 and 538.88

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Solution

The fourth proportional to 703.51, 972.15 and 538.88 is: 744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.51 : 972.15 = 538.88 : x
  2. Step 2: Convert to fraction form
    703.51/972.15 = 538.88/x
  3. Step 3: Cross multiply
    703.51x = 972.15 × 538.88
  4. Step 4: Simplify right side
    703.51x = 523,871.08
  5. Step 5: Solve for x
    x = 523,871.08/703.51
  6. Step 6: Final answer
    x = 744.65

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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.