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Finding the Fourth Proportional to 1,065.84, 1,599.01 and 407.74

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Solution

The fourth proportional to 1,065.84, 1,599.01 and 407.74 is: 611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.84 : 1,599.01 = 407.74 : x
  2. Step 2: Convert to fraction form
    1,065.84/1,599.01 = 407.74/x
  3. Step 3: Cross multiply
    1,065.84x = 1,599.01 × 407.74
  4. Step 4: Simplify right side
    1,065.84x = 651,980.34
  5. Step 5: Solve for x
    x = 651,980.34/1,065.84
  6. Step 6: Final answer
    x = 611.71

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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.