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Finding the Fourth Proportional to 771.60, 1,064.40 and 476.76

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Solution

The fourth proportional to 771.60, 1,064.40 and 476.76 is: 657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.60 : 1,064.40 = 476.76 : x
  2. Step 2: Convert to fraction form
    771.60/1,064.40 = 476.76/x
  3. Step 3: Cross multiply
    771.60x = 1,064.40 × 476.76
  4. Step 4: Simplify right side
    771.60x = 507,463.34
  5. Step 5: Solve for x
    x = 507,463.34/771.60
  6. Step 6: Final answer
    x = 657.68

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Double scale
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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.