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Finding the Fourth Proportional to 856.26, 1,275.63 and 814.98

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Solution

The fourth proportional to 856.26, 1,275.63 and 814.98 is: 1,214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.26 : 1,275.63 = 814.98 : x
  2. Step 2: Convert to fraction form
    856.26/1,275.63 = 814.98/x
  3. Step 3: Cross multiply
    856.26x = 1,275.63 × 814.98
  4. Step 4: Simplify right side
    856.26x = 1,039,612.94
  5. Step 5: Solve for x
    x = 1,039,612.94/856.26
  6. Step 6: Final answer
    x = 1,214.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.