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Finding the Fourth Proportional to 2,332.26, 3,498.59 and 666.50

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Solution

The fourth proportional to 2,332.26, 3,498.59 and 666.50 is: 999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.26 : 3,498.59 = 666.50 : x
  2. Step 2: Convert to fraction form
    2,332.26/3,498.59 = 666.50/x
  3. Step 3: Cross multiply
    2,332.26x = 3,498.59 × 666.50
  4. Step 4: Simplify right side
    2,332.26x = 2,331,794.41
  5. Step 5: Solve for x
    x = 2,331,794.41/2,332.26
  6. Step 6: Final answer
    x = 999.80

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1.5x scale

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.