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Finding the Fourth Proportional to 719.66, 993.58 and 498.53

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Solution

The fourth proportional to 719.66, 993.58 and 498.53 is: 688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.66 : 993.58 = 498.53 : x
  2. Step 2: Convert to fraction form
    719.66/993.58 = 498.53/x
  3. Step 3: Cross multiply
    719.66x = 993.58 × 498.53
  4. Step 4: Simplify right side
    719.66x = 495,329.44
  5. Step 5: Solve for x
    x = 495,329.44/719.66
  6. Step 6: Final answer
    x = 688.28

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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.