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Finding the Fourth Proportional to 926.05, 1,275.90 and 610.76

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Solution

The fourth proportional to 926.05, 1,275.90 and 610.76 is: 841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.05 : 1,275.90 = 610.76 : x
  2. Step 2: Convert to fraction form
    926.05/1,275.90 = 610.76/x
  3. Step 3: Cross multiply
    926.05x = 1,275.90 × 610.76
  4. Step 4: Simplify right side
    926.05x = 779,269.45
  5. Step 5: Solve for x
    x = 779,269.45/926.05
  6. Step 6: Final answer
    x = 841.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.