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Finding the Fourth Proportional to 1,002.96, 1,501.00 and 632.60

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Solution

The fourth proportional to 1,002.96, 1,501.00 and 632.60 is: 946.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.96 : 1,501.00 = 632.60 : x
  2. Step 2: Convert to fraction form
    1,002.96/1,501.00 = 632.60/x
  3. Step 3: Cross multiply
    1,002.96x = 1,501.00 × 632.60
  4. Step 4: Simplify right side
    1,002.96x = 949,528.37
  5. Step 5: Solve for x
    x = 949,528.37/1,002.96
  6. Step 6: Final answer
    x = 946.72

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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.