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Finding the Fourth Proportional to 753.16, 1,039.32 and 438.52

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Solution

The fourth proportional to 753.16, 1,039.32 and 438.52 is: 605.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.16 : 1,039.32 = 438.52 : x
  2. Step 2: Convert to fraction form
    753.16/1,039.32 = 438.52/x
  3. Step 3: Cross multiply
    753.16x = 1,039.32 × 438.52
  4. Step 4: Simplify right side
    753.16x = 455,762.61
  5. Step 5: Solve for x
    x = 455,762.61/753.16
  6. Step 6: Final answer
    x = 605.13

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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.