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Finding the Fourth Proportional to 1,175.63, 1,622.63 and 710.15

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Solution

The fourth proportional to 1,175.63, 1,622.63 and 710.15 is: 980.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.63 : 1,622.63 = 710.15 : x
  2. Step 2: Convert to fraction form
    1,175.63/1,622.63 = 710.15/x
  3. Step 3: Cross multiply
    1,175.63x = 1,622.63 × 710.15
  4. Step 4: Simplify right side
    1,175.63x = 1,152,304.36
  5. Step 5: Solve for x
    x = 1,152,304.36/1,175.63
  6. Step 6: Final answer
    x = 980.16

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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.