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Finding the Fourth Proportional to 1,230.24, 1,697.70 and 670.70

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Solution

The fourth proportional to 1,230.24, 1,697.70 and 670.70 is: 925.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.24 : 1,697.70 = 670.70 : x
  2. Step 2: Convert to fraction form
    1,230.24/1,697.70 = 670.70/x
  3. Step 3: Cross multiply
    1,230.24x = 1,697.70 × 670.70
  4. Step 4: Simplify right side
    1,230.24x = 1,138,647.39
  5. Step 5: Solve for x
    x = 1,138,647.39/1,230.24
  6. Step 6: Final answer
    x = 925.55

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1.5x scale

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.