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Finding the Fourth Proportional to 1,069.79, 1,476.18 and 597.71

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Solution

The fourth proportional to 1,069.79, 1,476.18 and 597.71 is: 824.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.79 : 1,476.18 = 597.71 : x
  2. Step 2: Convert to fraction form
    1,069.79/1,476.18 = 597.71/x
  3. Step 3: Cross multiply
    1,069.79x = 1,476.18 × 597.71
  4. Step 4: Simplify right side
    1,069.79x = 882,327.55
  5. Step 5: Solve for x
    x = 882,327.55/1,069.79
  6. Step 6: Final answer
    x = 824.77

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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.