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Finding the Fourth Proportional to 1,356.67, 2,035.06 and 615.99

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Solution

The fourth proportional to 1,356.67, 2,035.06 and 615.99 is: 924.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.67 : 2,035.06 = 615.99 : x
  2. Step 2: Convert to fraction form
    1,356.67/2,035.06 = 615.99/x
  3. Step 3: Cross multiply
    1,356.67x = 2,035.06 × 615.99
  4. Step 4: Simplify right side
    1,356.67x = 1,253,580.19
  5. Step 5: Solve for x
    x = 1,253,580.19/1,356.67
  6. Step 6: Final answer
    x = 924.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.