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Finding the Fourth Proportional to 659.30, 924.30 and 659.30

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Solution

The fourth proportional to 659.30, 924.30 and 659.30 is: 924.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.30 : 924.30 = 659.30 : x
  2. Step 2: Convert to fraction form
    659.30/924.30 = 659.30/x
  3. Step 3: Cross multiply
    659.30x = 924.30 × 659.30
  4. Step 4: Simplify right side
    659.30x = 609,390.99
  5. Step 5: Solve for x
    x = 609,390.99/659.30
  6. Step 6: Final answer
    x = 924.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.