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Finding the Fourth Proportional to 1,170.95, 1,615.91 and 647.01

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Solution

The fourth proportional to 1,170.95, 1,615.91 and 647.01 is: 892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.95 : 1,615.91 = 647.01 : x
  2. Step 2: Convert to fraction form
    1,170.95/1,615.91 = 647.01/x
  3. Step 3: Cross multiply
    1,170.95x = 1,615.91 × 647.01
  4. Step 4: Simplify right side
    1,170.95x = 1,045,506.69
  5. Step 5: Solve for x
    x = 1,045,506.69/1,170.95
  6. Step 6: Final answer
    x = 892.87

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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.