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Finding the Fourth Proportional to 1,038.20, 1,430.88 and 788.96

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Solution

The fourth proportional to 1,038.20, 1,430.88 and 788.96 is: 1,087.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.20 : 1,430.88 = 788.96 : x
  2. Step 2: Convert to fraction form
    1,038.20/1,430.88 = 788.96/x
  3. Step 3: Cross multiply
    1,038.20x = 1,430.88 × 788.96
  4. Step 4: Simplify right side
    1,038.20x = 1,128,907.08
  5. Step 5: Solve for x
    x = 1,128,907.08/1,038.20
  6. Step 6: Final answer
    x = 1,087.37

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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.