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Finding the Fourth Proportional to 731.57, 1,009.55 and 400.01

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Solution

The fourth proportional to 731.57, 1,009.55 and 400.01 is: 552.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.57 : 1,009.55 = 400.01 : x
  2. Step 2: Convert to fraction form
    731.57/1,009.55 = 400.01/x
  3. Step 3: Cross multiply
    731.57x = 1,009.55 × 400.01
  4. Step 4: Simplify right side
    731.57x = 403,826.05
  5. Step 5: Solve for x
    x = 403,826.05/731.57
  6. Step 6: Final answer
    x = 552.00

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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.