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Finding the Fourth Proportional to 734.79, 1,013.88 and 419.94

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Solution

The fourth proportional to 734.79, 1,013.88 and 419.94 is: 579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.79 : 1,013.88 = 419.94 : x
  2. Step 2: Convert to fraction form
    734.79/1,013.88 = 419.94/x
  3. Step 3: Cross multiply
    734.79x = 1,013.88 × 419.94
  4. Step 4: Simplify right side
    734.79x = 425,768.77
  5. Step 5: Solve for x
    x = 425,768.77/734.79
  6. Step 6: Final answer
    x = 579.44

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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.