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Finding the Fourth Proportional to 661.06, 992.55 and 469.70

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Solution

The fourth proportional to 661.06, 992.55 and 469.70 is: 705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.06 : 992.55 = 469.70 : x
  2. Step 2: Convert to fraction form
    661.06/992.55 = 469.70/x
  3. Step 3: Cross multiply
    661.06x = 992.55 × 469.70
  4. Step 4: Simplify right side
    661.06x = 466,200.74
  5. Step 5: Solve for x
    x = 466,200.74/661.06
  6. Step 6: Final answer
    x = 705.23

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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.