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Finding the Fourth Proportional to 1,699, 2,345.60 and 1,284.28

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Solution

The fourth proportional to 1,699, 2,345.60 and 1,284.28 is: 1,773.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699 : 2,345.60 = 1,284.28 : x
  2. Step 2: Convert to fraction form
    1,699/2,345.60 = 1,284.28/x
  3. Step 3: Cross multiply
    1,699x = 2,345.60 × 1,284.28
  4. Step 4: Simplify right side
    1,699x = 3,012,407.17
  5. Step 5: Solve for x
    x = 3,012,407.17/1,699
  6. Step 6: Final answer
    x = 1,773.05

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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.