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Finding the Fourth Proportional to 926.10, 1,276.77 and 576.66

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Solution

The fourth proportional to 926.10, 1,276.77 and 576.66 is: 795.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.10 : 1,276.77 = 576.66 : x
  2. Step 2: Convert to fraction form
    926.10/1,276.77 = 576.66/x
  3. Step 3: Cross multiply
    926.10x = 1,276.77 × 576.66
  4. Step 4: Simplify right side
    926.10x = 736,262.19
  5. Step 5: Solve for x
    x = 736,262.19/926.10
  6. Step 6: Final answer
    x = 795.01

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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.