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Finding the Fourth Proportional to 1,050.02, 1,572.60 and 958.49

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Solution

The fourth proportional to 1,050.02, 1,572.60 and 958.49 is: 1,435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.02 : 1,572.60 = 958.49 : x
  2. Step 2: Convert to fraction form
    1,050.02/1,572.60 = 958.49/x
  3. Step 3: Cross multiply
    1,050.02x = 1,572.60 × 958.49
  4. Step 4: Simplify right side
    1,050.02x = 1,507,321.37
  5. Step 5: Solve for x
    x = 1,507,321.37/1,050.02
  6. Step 6: Final answer
    x = 1,435.52

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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.