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Finding the Fourth Proportional to 985.63, 1,478.58 and 780.58

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Solution

The fourth proportional to 985.63, 1,478.58 and 780.58 is: 1,170.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.63 : 1,478.58 = 780.58 : x
  2. Step 2: Convert to fraction form
    985.63/1,478.58 = 780.58/x
  3. Step 3: Cross multiply
    985.63x = 1,478.58 × 780.58
  4. Step 4: Simplify right side
    985.63x = 1,154,149.98
  5. Step 5: Solve for x
    x = 1,154,149.98/985.63
  6. Step 6: Final answer
    x = 1,170.98

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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.