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Finding the Fourth Proportional to 910.12, 1,255.93 and 556.63

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Solution

The fourth proportional to 910.12, 1,255.93 and 556.63 is: 768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.12 : 1,255.93 = 556.63 : x
  2. Step 2: Convert to fraction form
    910.12/1,255.93 = 556.63/x
  3. Step 3: Cross multiply
    910.12x = 1,255.93 × 556.63
  4. Step 4: Simplify right side
    910.12x = 699,088.32
  5. Step 5: Solve for x
    x = 699,088.32/910.12
  6. Step 6: Final answer
    x = 768.13

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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.