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Finding the Fourth Proportional to 1,605.62, 2,210.60 and 1,398.53

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Solution

The fourth proportional to 1,605.62, 2,210.60 and 1,398.53 is: 1,925.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.62 : 2,210.60 = 1,398.53 : x
  2. Step 2: Convert to fraction form
    1,605.62/2,210.60 = 1,398.53/x
  3. Step 3: Cross multiply
    1,605.62x = 2,210.60 × 1,398.53
  4. Step 4: Simplify right side
    1,605.62x = 3,091,572.37
  5. Step 5: Solve for x
    x = 3,091,572.37/1,605.62
  6. Step 6: Final answer
    x = 1,925.48

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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.