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Finding the Fourth Proportional to 715.49, 1,073.31 and 561.14

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Solution

The fourth proportional to 715.49, 1,073.31 and 561.14 is: 841.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.49 : 1,073.31 = 561.14 : x
  2. Step 2: Convert to fraction form
    715.49/1,073.31 = 561.14/x
  3. Step 3: Cross multiply
    715.49x = 1,073.31 × 561.14
  4. Step 4: Simplify right side
    715.49x = 602,271.81
  5. Step 5: Solve for x
    x = 602,271.81/715.49
  6. Step 6: Final answer
    x = 841.76

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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.