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Finding the Fourth Proportional to 1,006.10, 1,507.53 and 620.54

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Solution

The fourth proportional to 1,006.10, 1,507.53 and 620.54 is: 929.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.10 : 1,507.53 = 620.54 : x
  2. Step 2: Convert to fraction form
    1,006.10/1,507.53 = 620.54/x
  3. Step 3: Cross multiply
    1,006.10x = 1,507.53 × 620.54
  4. Step 4: Simplify right side
    1,006.10x = 935,482.67
  5. Step 5: Solve for x
    x = 935,482.67/1,006.10
  6. Step 6: Final answer
    x = 929.81

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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.