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Finding the Fourth Proportional to 1,038, 1,564.15 and 859.40

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Solution

The fourth proportional to 1,038, 1,564.15 and 859.40 is: 1,295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038 : 1,564.15 = 859.40 : x
  2. Step 2: Convert to fraction form
    1,038/1,564.15 = 859.40/x
  3. Step 3: Cross multiply
    1,038x = 1,564.15 × 859.40
  4. Step 4: Simplify right side
    1,038x = 1,344,230.51
  5. Step 5: Solve for x
    x = 1,344,230.51/1,038
  6. Step 6: Final answer
    x = 1,295.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.