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Finding the Fourth Proportional to 737.02, 1,011.75 and 730.10

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Solution

The fourth proportional to 737.02, 1,011.75 and 730.10 is: 1,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.02 : 1,011.75 = 730.10 : x
  2. Step 2: Convert to fraction form
    737.02/1,011.75 = 730.10/x
  3. Step 3: Cross multiply
    737.02x = 1,011.75 × 730.10
  4. Step 4: Simplify right side
    737.02x = 738,676.35
  5. Step 5: Solve for x
    x = 738,676.35/737.02
  6. Step 6: Final answer
    x = 1,002.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.