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Finding the Fourth Proportional to 1,390.35, 2,085.63 and 465.91

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Solution

The fourth proportional to 1,390.35, 2,085.63 and 465.91 is: 698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.35 : 2,085.63 = 465.91 : x
  2. Step 2: Convert to fraction form
    1,390.35/2,085.63 = 465.91/x
  3. Step 3: Cross multiply
    1,390.35x = 2,085.63 × 465.91
  4. Step 4: Simplify right side
    1,390.35x = 971,715.87
  5. Step 5: Solve for x
    x = 971,715.87/1,390.35
  6. Step 6: Final answer
    x = 698.90

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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.