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Finding the Fourth Proportional to 1,250.01, 1,875.12 and 427.95

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Solution

The fourth proportional to 1,250.01, 1,875.12 and 427.95 is: 641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.01 : 1,875.12 = 427.95 : x
  2. Step 2: Convert to fraction form
    1,250.01/1,875.12 = 427.95/x
  3. Step 3: Cross multiply
    1,250.01x = 1,875.12 × 427.95
  4. Step 4: Simplify right side
    1,250.01x = 802,457.60
  5. Step 5: Solve for x
    x = 802,457.60/1,250.01
  6. Step 6: Final answer
    x = 641.96

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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.