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Finding the Fourth Proportional to 770.02, 1,152.98 and 601.56

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Solution

The fourth proportional to 770.02, 1,152.98 and 601.56 is: 900.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.02 : 1,152.98 = 601.56 : x
  2. Step 2: Convert to fraction form
    770.02/1,152.98 = 601.56/x
  3. Step 3: Cross multiply
    770.02x = 1,152.98 × 601.56
  4. Step 4: Simplify right side
    770.02x = 693,586.65
  5. Step 5: Solve for x
    x = 693,586.65/770.02
  6. Step 6: Final answer
    x = 900.74

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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.