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Finding the Fourth Proportional to 738.63, 1,019.31 and 407.06

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Solution

The fourth proportional to 738.63, 1,019.31 and 407.06 is: 561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.63 : 1,019.31 = 407.06 : x
  2. Step 2: Convert to fraction form
    738.63/1,019.31 = 407.06/x
  3. Step 3: Cross multiply
    738.63x = 1,019.31 × 407.06
  4. Step 4: Simplify right side
    738.63x = 414,913.20
  5. Step 5: Solve for x
    x = 414,913.20/738.63
  6. Step 6: Final answer
    x = 561.74

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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.