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Finding the Fourth Proportional to 1,390.68, 2,085.24 and 465.72

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Solution

The fourth proportional to 1,390.68, 2,085.24 and 465.72 is: 698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.68 : 2,085.24 = 465.72 : x
  2. Step 2: Convert to fraction form
    1,390.68/2,085.24 = 465.72/x
  3. Step 3: Cross multiply
    1,390.68x = 2,085.24 × 465.72
  4. Step 4: Simplify right side
    1,390.68x = 971,137.97
  5. Step 5: Solve for x
    x = 971,137.97/1,390.68
  6. Step 6: Final answer
    x = 698.32

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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.