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Finding the Fourth Proportional to 841.62, 1,262.50 and 264.50

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Solution

The fourth proportional to 841.62, 1,262.50 and 264.50 is: 396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.62 : 1,262.50 = 264.50 : x
  2. Step 2: Convert to fraction form
    841.62/1,262.50 = 264.50/x
  3. Step 3: Cross multiply
    841.62x = 1,262.50 × 264.50
  4. Step 4: Simplify right side
    841.62x = 333,931.25
  5. Step 5: Solve for x
    x = 333,931.25/841.62
  6. Step 6: Final answer
    x = 396.77

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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.