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Finding the Fourth Proportional to 738.95, 1,019.70 and 407.39

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Solution

The fourth proportional to 738.95, 1,019.70 and 407.39 is: 562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.95 : 1,019.70 = 407.39 : x
  2. Step 2: Convert to fraction form
    738.95/1,019.70 = 407.39/x
  3. Step 3: Cross multiply
    738.95x = 1,019.70 × 407.39
  4. Step 4: Simplify right side
    738.95x = 415,410.48
  5. Step 5: Solve for x
    x = 415,410.48/738.95
  6. Step 6: Final answer
    x = 562.17

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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.