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Finding the Fourth Proportional to 651.06, 972.02 and 496.16

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Solution

The fourth proportional to 651.06, 972.02 and 496.16 is: 740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.06 : 972.02 = 496.16 : x
  2. Step 2: Convert to fraction form
    651.06/972.02 = 496.16/x
  3. Step 3: Cross multiply
    651.06x = 972.02 × 496.16
  4. Step 4: Simplify right side
    651.06x = 482,270.10
  5. Step 5: Solve for x
    x = 482,270.10/651.06
  6. Step 6: Final answer
    x = 740.75

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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.