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Finding the Fourth Proportional to 751.63, 1,037.70 and 472.10

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Solution

The fourth proportional to 751.63, 1,037.70 and 472.10 is: 651.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.63 : 1,037.70 = 472.10 : x
  2. Step 2: Convert to fraction form
    751.63/1,037.70 = 472.10/x
  3. Step 3: Cross multiply
    751.63x = 1,037.70 × 472.10
  4. Step 4: Simplify right side
    751.63x = 489,898.99
  5. Step 5: Solve for x
    x = 489,898.99/751.63
  6. Step 6: Final answer
    x = 651.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.