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Finding the Fourth Proportional to 734.81, 1,013.90 and 440.01

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Solution

The fourth proportional to 734.81, 1,013.90 and 440.01 is: 607.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.81 : 1,013.90 = 440.01 : x
  2. Step 2: Convert to fraction form
    734.81/1,013.90 = 440.01/x
  3. Step 3: Cross multiply
    734.81x = 1,013.90 × 440.01
  4. Step 4: Simplify right side
    734.81x = 446,123.94
  5. Step 5: Solve for x
    x = 446,123.94/734.81
  6. Step 6: Final answer
    x = 607.13

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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.