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Finding the Fourth Proportional to 1,059.02, 1,461.63 and 617.19

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Solution

The fourth proportional to 1,059.02, 1,461.63 and 617.19 is: 851.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.02 : 1,461.63 = 617.19 : x
  2. Step 2: Convert to fraction form
    1,059.02/1,461.63 = 617.19/x
  3. Step 3: Cross multiply
    1,059.02x = 1,461.63 × 617.19
  4. Step 4: Simplify right side
    1,059.02x = 902,096.78
  5. Step 5: Solve for x
    x = 902,096.78/1,059.02
  6. Step 6: Final answer
    x = 851.82

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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.