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Finding the Fourth Proportional to 790.88, 1,190.60 and 711.50

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Solution

The fourth proportional to 790.88, 1,190.60 and 711.50 is: 1,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.88 : 1,190.60 = 711.50 : x
  2. Step 2: Convert to fraction form
    790.88/1,190.60 = 711.50/x
  3. Step 3: Cross multiply
    790.88x = 1,190.60 × 711.50
  4. Step 4: Simplify right side
    790.88x = 847,111.90
  5. Step 5: Solve for x
    x = 847,111.90/790.88
  6. Step 6: Final answer
    x = 1,071.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.