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Finding the Fourth Proportional to 771.37, 1,064.03 and 476.42

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Solution

The fourth proportional to 771.37, 1,064.03 and 476.42 is: 657.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.37 : 1,064.03 = 476.42 : x
  2. Step 2: Convert to fraction form
    771.37/1,064.03 = 476.42/x
  3. Step 3: Cross multiply
    771.37x = 1,064.03 × 476.42
  4. Step 4: Simplify right side
    771.37x = 506,925.17
  5. Step 5: Solve for x
    x = 506,925.17/771.37
  6. Step 6: Final answer
    x = 657.18

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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.