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Finding the Fourth Proportional to 732.02, 1,010.08 and 412.98

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Solution

The fourth proportional to 732.02, 1,010.08 and 412.98 is: 569.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.02 : 1,010.08 = 412.98 : x
  2. Step 2: Convert to fraction form
    732.02/1,010.08 = 412.98/x
  3. Step 3: Cross multiply
    732.02x = 1,010.08 × 412.98
  4. Step 4: Simplify right side
    732.02x = 417,142.84
  5. Step 5: Solve for x
    x = 417,142.84/732.02
  6. Step 6: Final answer
    x = 569.85

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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.