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Finding the Fourth Proportional to 703.02, 977.92 and 689.65

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Solution

The fourth proportional to 703.02, 977.92 and 689.65 is: 959.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.02 : 977.92 = 689.65 : x
  2. Step 2: Convert to fraction form
    703.02/977.92 = 689.65/x
  3. Step 3: Cross multiply
    703.02x = 977.92 × 689.65
  4. Step 4: Simplify right side
    703.02x = 674,421.52
  5. Step 5: Solve for x
    x = 674,421.52/703.02
  6. Step 6: Final answer
    x = 959.32

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1.5x scale

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.