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Finding the Fourth Proportional to 752.37, 1,038.23 and 437.62

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Solution

The fourth proportional to 752.37, 1,038.23 and 437.62 is: 603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.37 : 1,038.23 = 437.62 : x
  2. Step 2: Convert to fraction form
    752.37/1,038.23 = 437.62/x
  3. Step 3: Cross multiply
    752.37x = 1,038.23 × 437.62
  4. Step 4: Simplify right side
    752.37x = 454,345.02
  5. Step 5: Solve for x
    x = 454,345.02/752.37
  6. Step 6: Final answer
    x = 603.89

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1.5x scale

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.