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Finding the Fourth Proportional to 813.70, 1,214.64 and 753.63

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Solution

The fourth proportional to 813.70, 1,214.64 and 753.63 is: 1,124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.70 : 1,214.64 = 753.63 : x
  2. Step 2: Convert to fraction form
    813.70/1,214.64 = 753.63/x
  3. Step 3: Cross multiply
    813.70x = 1,214.64 × 753.63
  4. Step 4: Simplify right side
    813.70x = 915,389.14
  5. Step 5: Solve for x
    x = 915,389.14/813.70
  6. Step 6: Final answer
    x = 1,124.97

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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.