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Finding the Fourth Proportional to 1,140.39, 1,710.62 and 893.36

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Solution

The fourth proportional to 1,140.39, 1,710.62 and 893.36 is: 1,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.39 : 1,710.62 = 893.36 : x
  2. Step 2: Convert to fraction form
    1,140.39/1,710.62 = 893.36/x
  3. Step 3: Cross multiply
    1,140.39x = 1,710.62 × 893.36
  4. Step 4: Simplify right side
    1,140.39x = 1,528,186.46
  5. Step 5: Solve for x
    x = 1,528,186.46/1,140.39
  6. Step 6: Final answer
    x = 1,340.06

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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.