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Finding the Fourth Proportional to 1,152.95, 1,591.07 and 628.98

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Solution

The fourth proportional to 1,152.95, 1,591.07 and 628.98 is: 867.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.95 : 1,591.07 = 628.98 : x
  2. Step 2: Convert to fraction form
    1,152.95/1,591.07 = 628.98/x
  3. Step 3: Cross multiply
    1,152.95x = 1,591.07 × 628.98
  4. Step 4: Simplify right side
    1,152.95x = 1,000,748.06
  5. Step 5: Solve for x
    x = 1,000,748.06/1,152.95
  6. Step 6: Final answer
    x = 867.99

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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.