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Finding the Fourth Proportional to 772.98, 1,158.48 and 480

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Solution

The fourth proportional to 772.98, 1,158.48 and 480 is: 719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.98 : 1,158.48 = 480 : x
  2. Step 2: Convert to fraction form
    772.98/1,158.48 = 480/x
  3. Step 3: Cross multiply
    772.98x = 1,158.48 × 480
  4. Step 4: Simplify right side
    772.98x = 556,070.40
  5. Step 5: Solve for x
    x = 556,070.40/772.98
  6. Step 6: Final answer
    x = 719.39

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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.