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Finding the Fourth Proportional to 611.60, 924.62 and 611.60

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Solution

The fourth proportional to 611.60, 924.62 and 611.60 is: 924.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.60 : 924.62 = 611.60 : x
  2. Step 2: Convert to fraction form
    611.60/924.62 = 611.60/x
  3. Step 3: Cross multiply
    611.60x = 924.62 × 611.60
  4. Step 4: Simplify right side
    611.60x = 565,497.59
  5. Step 5: Solve for x
    x = 565,497.59/611.60
  6. Step 6: Final answer
    x = 924.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.