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Finding the Fourth Proportional to 734.53, 1,013.63 and 435.77

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Solution

The fourth proportional to 734.53, 1,013.63 and 435.77 is: 601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.53 : 1,013.63 = 435.77 : x
  2. Step 2: Convert to fraction form
    734.53/1,013.63 = 435.77/x
  3. Step 3: Cross multiply
    734.53x = 1,013.63 × 435.77
  4. Step 4: Simplify right side
    734.53x = 441,707.37
  5. Step 5: Solve for x
    x = 441,707.37/734.53
  6. Step 6: Final answer
    x = 601.35

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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.