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Finding the Fourth Proportional to 930.29, 1,281.74 and 615.00

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Solution

The fourth proportional to 930.29, 1,281.74 and 615.00 is: 847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.29 : 1,281.74 = 615.00 : x
  2. Step 2: Convert to fraction form
    930.29/1,281.74 = 615.00/x
  3. Step 3: Cross multiply
    930.29x = 1,281.74 × 615.00
  4. Step 4: Simplify right side
    930.29x = 788,268.08
  5. Step 5: Solve for x
    x = 788,268.08/930.29
  6. Step 6: Final answer
    x = 847.34

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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.