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Finding the Fourth Proportional to 776.34, 1,164.47 and 429.84

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Solution

The fourth proportional to 776.34, 1,164.47 and 429.84 is: 644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.34 : 1,164.47 = 429.84 : x
  2. Step 2: Convert to fraction form
    776.34/1,164.47 = 429.84/x
  3. Step 3: Cross multiply
    776.34x = 1,164.47 × 429.84
  4. Step 4: Simplify right side
    776.34x = 500,533.64
  5. Step 5: Solve for x
    x = 500,533.64/776.34
  6. Step 6: Final answer
    x = 644.74

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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.