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Finding the Fourth Proportional to 501.18, 752 and 492.98

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Solution

The fourth proportional to 501.18, 752 and 492.98 is: 739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.18 : 752 = 492.98 : x
  2. Step 2: Convert to fraction form
    501.18/752 = 492.98/x
  3. Step 3: Cross multiply
    501.18x = 752 × 492.98
  4. Step 4: Simplify right side
    501.18x = 370,720.96
  5. Step 5: Solve for x
    x = 370,720.96/501.18
  6. Step 6: Final answer
    x = 739.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.