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Finding the Fourth Proportional to 743.10, 1,026.48 and 570.60

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Solution

The fourth proportional to 743.10, 1,026.48 and 570.60 is: 788.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.10 : 1,026.48 = 570.60 : x
  2. Step 2: Convert to fraction form
    743.10/1,026.48 = 570.60/x
  3. Step 3: Cross multiply
    743.10x = 1,026.48 × 570.60
  4. Step 4: Simplify right side
    743.10x = 585,709.49
  5. Step 5: Solve for x
    x = 585,709.49/743.10
  6. Step 6: Final answer
    x = 788.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.