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Finding the Fourth Proportional to 841.53, 1,158.26 and 716.79

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Solution

The fourth proportional to 841.53, 1,158.26 and 716.79 is: 986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.53 : 1,158.26 = 716.79 : x
  2. Step 2: Convert to fraction form
    841.53/1,158.26 = 716.79/x
  3. Step 3: Cross multiply
    841.53x = 1,158.26 × 716.79
  4. Step 4: Simplify right side
    841.53x = 830,225.60
  5. Step 5: Solve for x
    x = 830,225.60/841.53
  6. Step 6: Final answer
    x = 986.57

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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.