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Finding the Fourth Proportional to 746.34, 1,030.05 and 435.84

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Solution

The fourth proportional to 746.34, 1,030.05 and 435.84 is: 601.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.34 : 1,030.05 = 435.84 : x
  2. Step 2: Convert to fraction form
    746.34/1,030.05 = 435.84/x
  3. Step 3: Cross multiply
    746.34x = 1,030.05 × 435.84
  4. Step 4: Simplify right side
    746.34x = 448,936.99
  5. Step 5: Solve for x
    x = 448,936.99/746.34
  6. Step 6: Final answer
    x = 601.52

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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.