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Finding the Fourth Proportional to 753.92, 1,128.36 and 570.30

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Solution

The fourth proportional to 753.92, 1,128.36 and 570.30 is: 853.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.92 : 1,128.36 = 570.30 : x
  2. Step 2: Convert to fraction form
    753.92/1,128.36 = 570.30/x
  3. Step 3: Cross multiply
    753.92x = 1,128.36 × 570.30
  4. Step 4: Simplify right side
    753.92x = 643,503.71
  5. Step 5: Solve for x
    x = 643,503.71/753.92
  6. Step 6: Final answer
    x = 853.54

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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.