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Finding the Fourth Proportional to 770.24, 1,064.40 and 584.30

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Solution

The fourth proportional to 770.24, 1,064.40 and 584.30 is: 807.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.24 : 1,064.40 = 584.30 : x
  2. Step 2: Convert to fraction form
    770.24/1,064.40 = 584.30/x
  3. Step 3: Cross multiply
    770.24x = 1,064.40 × 584.30
  4. Step 4: Simplify right side
    770.24x = 621,928.92
  5. Step 5: Solve for x
    x = 621,928.92/770.24
  6. Step 6: Final answer
    x = 807.45

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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.