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Finding the Fourth Proportional to 790.89, 1,190.94 and 586.91

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Solution

The fourth proportional to 790.89, 1,190.94 and 586.91 is: 883.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.89 : 1,190.94 = 586.91 : x
  2. Step 2: Convert to fraction form
    790.89/1,190.94 = 586.91/x
  3. Step 3: Cross multiply
    790.89x = 1,190.94 × 586.91
  4. Step 4: Simplify right side
    790.89x = 698,968.64
  5. Step 5: Solve for x
    x = 698,968.64/790.89
  6. Step 6: Final answer
    x = 883.77

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1.5x scale

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.