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Finding the Fourth Proportional to 941.10, 1,297.62 and 719.70

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Solution

The fourth proportional to 941.10, 1,297.62 and 719.70 is: 992.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.10 : 1,297.62 = 719.70 : x
  2. Step 2: Convert to fraction form
    941.10/1,297.62 = 719.70/x
  3. Step 3: Cross multiply
    941.10x = 1,297.62 × 719.70
  4. Step 4: Simplify right side
    941.10x = 933,897.11
  5. Step 5: Solve for x
    x = 933,897.11/941.10
  6. Step 6: Final answer
    x = 992.35

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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.