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Finding the Fourth Proportional to 715.16, 1,068.36 and 571.04

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Solution

The fourth proportional to 715.16, 1,068.36 and 571.04 is: 853.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.16 : 1,068.36 = 571.04 : x
  2. Step 2: Convert to fraction form
    715.16/1,068.36 = 571.04/x
  3. Step 3: Cross multiply
    715.16x = 1,068.36 × 571.04
  4. Step 4: Simplify right side
    715.16x = 610,076.29
  5. Step 5: Solve for x
    x = 610,076.29/715.16
  6. Step 6: Final answer
    x = 853.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.