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Finding the Fourth Proportional to 651.81, 973.14 and 496.89

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Solution

The fourth proportional to 651.81, 973.14 and 496.89 is: 741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.81 : 973.14 = 496.89 : x
  2. Step 2: Convert to fraction form
    651.81/973.14 = 496.89/x
  3. Step 3: Cross multiply
    651.81x = 973.14 × 496.89
  4. Step 4: Simplify right side
    651.81x = 483,543.53
  5. Step 5: Solve for x
    x = 483,543.53/651.81
  6. Step 6: Final answer
    x = 741.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.