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Finding the Fourth Proportional to 2,430.47, 3,645.75 and 870.57

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Solution

The fourth proportional to 2,430.47, 3,645.75 and 870.57 is: 1,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.47 : 3,645.75 = 870.57 : x
  2. Step 2: Convert to fraction form
    2,430.47/3,645.75 = 870.57/x
  3. Step 3: Cross multiply
    2,430.47x = 3,645.75 × 870.57
  4. Step 4: Simplify right side
    2,430.47x = 3,173,880.58
  5. Step 5: Solve for x
    x = 3,173,880.58/2,430.47
  6. Step 6: Final answer
    x = 1,305.87

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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.