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Finding the Fourth Proportional to 1,065.17, 1,598.31 and 407.49

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Solution

The fourth proportional to 1,065.17, 1,598.31 and 407.49 is: 611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.17 : 1,598.31 = 407.49 : x
  2. Step 2: Convert to fraction form
    1,065.17/1,598.31 = 407.49/x
  3. Step 3: Cross multiply
    1,065.17x = 1,598.31 × 407.49
  4. Step 4: Simplify right side
    1,065.17x = 651,295.34
  5. Step 5: Solve for x
    x = 651,295.34/1,065.17
  6. Step 6: Final answer
    x = 611.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.