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Finding the Fourth Proportional to 715.18, 1,071.56 and 389.56

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Solution

The fourth proportional to 715.18, 1,071.56 and 389.56 is: 583.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.18 : 1,071.56 = 389.56 : x
  2. Step 2: Convert to fraction form
    715.18/1,071.56 = 389.56/x
  3. Step 3: Cross multiply
    715.18x = 1,071.56 × 389.56
  4. Step 4: Simplify right side
    715.18x = 417,436.91
  5. Step 5: Solve for x
    x = 417,436.91/715.18
  6. Step 6: Final answer
    x = 583.68

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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.