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Finding the Fourth Proportional to 679.92, 1,015.68 and 570.60

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Solution

The fourth proportional to 679.92, 1,015.68 and 570.60 is: 852.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.92 : 1,015.68 = 570.60 : x
  2. Step 2: Convert to fraction form
    679.92/1,015.68 = 570.60/x
  3. Step 3: Cross multiply
    679.92x = 1,015.68 × 570.60
  4. Step 4: Simplify right side
    679.92x = 579,547.01
  5. Step 5: Solve for x
    x = 579,547.01/679.92
  6. Step 6: Final answer
    x = 852.38

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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.