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Finding the Fourth Proportional to 1,681.59, 2,319.98 and 1,018.20

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Solution

The fourth proportional to 1,681.59, 2,319.98 and 1,018.20 is: 1,404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.59 : 2,319.98 = 1,018.20 : x
  2. Step 2: Convert to fraction form
    1,681.59/2,319.98 = 1,018.20/x
  3. Step 3: Cross multiply
    1,681.59x = 2,319.98 × 1,018.20
  4. Step 4: Simplify right side
    1,681.59x = 2,362,203.64
  5. Step 5: Solve for x
    x = 2,362,203.64/1,681.59
  6. Step 6: Final answer
    x = 1,404.74

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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.