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Finding the Fourth Proportional to 788.85, 1,089.08 and 509.50

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Solution

The fourth proportional to 788.85, 1,089.08 and 509.50 is: 703.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.85 : 1,089.08 = 509.50 : x
  2. Step 2: Convert to fraction form
    788.85/1,089.08 = 509.50/x
  3. Step 3: Cross multiply
    788.85x = 1,089.08 × 509.50
  4. Step 4: Simplify right side
    788.85x = 554,886.98
  5. Step 5: Solve for x
    x = 554,886.98/788.85
  6. Step 6: Final answer
    x = 703.41

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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.