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Finding the Fourth Proportional to 1,029.50, 1,420.72 and 615.50

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Solution

The fourth proportional to 1,029.50, 1,420.72 and 615.50 is: 849.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.50 : 1,420.72 = 615.50 : x
  2. Step 2: Convert to fraction form
    1,029.50/1,420.72 = 615.50/x
  3. Step 3: Cross multiply
    1,029.50x = 1,420.72 × 615.50
  4. Step 4: Simplify right side
    1,029.50x = 874,453.16
  5. Step 5: Solve for x
    x = 874,453.16/1,029.50
  6. Step 6: Final answer
    x = 849.40

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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.