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Finding the Fourth Proportional to 770.51, 1,064.19 and 561.62

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Solution

The fourth proportional to 770.51, 1,064.19 and 561.62 is: 775.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.51 : 1,064.19 = 561.62 : x
  2. Step 2: Convert to fraction form
    770.51/1,064.19 = 561.62/x
  3. Step 3: Cross multiply
    770.51x = 1,064.19 × 561.62
  4. Step 4: Simplify right side
    770.51x = 597,670.39
  5. Step 5: Solve for x
    x = 597,670.39/770.51
  6. Step 6: Final answer
    x = 775.68

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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.