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Finding the Fourth Proportional to 893.80, 1,345.51 and 813.16

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Solution

The fourth proportional to 893.80, 1,345.51 and 813.16 is: 1,224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.80 : 1,345.51 = 813.16 : x
  2. Step 2: Convert to fraction form
    893.80/1,345.51 = 813.16/x
  3. Step 3: Cross multiply
    893.80x = 1,345.51 × 813.16
  4. Step 4: Simplify right side
    893.80x = 1,094,114.91
  5. Step 5: Solve for x
    x = 1,094,114.91/893.80
  6. Step 6: Final answer
    x = 1,224.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.