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Finding the Fourth Proportional to 1,230.10, 1,697.08 and 810.70

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Solution

The fourth proportional to 1,230.10, 1,697.08 and 810.70 is: 1,118.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.10 : 1,697.08 = 810.70 : x
  2. Step 2: Convert to fraction form
    1,230.10/1,697.08 = 810.70/x
  3. Step 3: Cross multiply
    1,230.10x = 1,697.08 × 810.70
  4. Step 4: Simplify right side
    1,230.10x = 1,375,822.76
  5. Step 5: Solve for x
    x = 1,375,822.76/1,230.10
  6. Step 6: Final answer
    x = 1,118.46

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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.