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Finding the Fourth Proportional to 810.23, 1,117.14 and 677.63

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Solution

The fourth proportional to 810.23, 1,117.14 and 677.63 is: 934.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.23 : 1,117.14 = 677.63 : x
  2. Step 2: Convert to fraction form
    810.23/1,117.14 = 677.63/x
  3. Step 3: Cross multiply
    810.23x = 1,117.14 × 677.63
  4. Step 4: Simplify right side
    810.23x = 757,007.58
  5. Step 5: Solve for x
    x = 757,007.58/810.23
  6. Step 6: Final answer
    x = 934.31

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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.