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Finding the Fourth Proportional to 1,625, 2,437.50 and 470.76

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Solution

The fourth proportional to 1,625, 2,437.50 and 470.76 is: 706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625 : 2,437.50 = 470.76 : x
  2. Step 2: Convert to fraction form
    1,625/2,437.50 = 470.76/x
  3. Step 3: Cross multiply
    1,625x = 2,437.50 × 470.76
  4. Step 4: Simplify right side
    1,625x = 1,147,477.50
  5. Step 5: Solve for x
    x = 1,147,477.50/1,625
  6. Step 6: Final answer
    x = 706.14

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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.