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Finding the Fourth Proportional to 1,298.61, 1,944.68 and 810.18

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Solution

The fourth proportional to 1,298.61, 1,944.68 and 810.18 is: 1,213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.61 : 1,944.68 = 810.18 : x
  2. Step 2: Convert to fraction form
    1,298.61/1,944.68 = 810.18/x
  3. Step 3: Cross multiply
    1,298.61x = 1,944.68 × 810.18
  4. Step 4: Simplify right side
    1,298.61x = 1,575,536.79
  5. Step 5: Solve for x
    x = 1,575,536.79/1,298.61
  6. Step 6: Final answer
    x = 1,213.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.