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Finding the Fourth Proportional to 770.46, 1,065.18 and 584.40

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Solution

The fourth proportional to 770.46, 1,065.18 and 584.40 is: 807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.46 : 1,065.18 = 584.40 : x
  2. Step 2: Convert to fraction form
    770.46/1,065.18 = 584.40/x
  3. Step 3: Cross multiply
    770.46x = 1,065.18 × 584.40
  4. Step 4: Simplify right side
    770.46x = 622,491.19
  5. Step 5: Solve for x
    x = 622,491.19/770.46
  6. Step 6: Final answer
    x = 807.95

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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.