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Finding the Fourth Proportional to 1,308.57, 1,804.86 and 1,013.19

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Solution

The fourth proportional to 1,308.57, 1,804.86 and 1,013.19 is: 1,397.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.57 : 1,804.86 = 1,013.19 : x
  2. Step 2: Convert to fraction form
    1,308.57/1,804.86 = 1,013.19/x
  3. Step 3: Cross multiply
    1,308.57x = 1,804.86 × 1,013.19
  4. Step 4: Simplify right side
    1,308.57x = 1,828,666.10
  5. Step 5: Solve for x
    x = 1,828,666.10/1,308.57
  6. Step 6: Final answer
    x = 1,397.45

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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.