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Finding the Fourth Proportional to 555.28, 766.32 and 345.40

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Solution

The fourth proportional to 555.28, 766.32 and 345.40 is: 476.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.28 : 766.32 = 345.40 : x
  2. Step 2: Convert to fraction form
    555.28/766.32 = 345.40/x
  3. Step 3: Cross multiply
    555.28x = 766.32 × 345.40
  4. Step 4: Simplify right side
    555.28x = 264,686.93
  5. Step 5: Solve for x
    x = 264,686.93/555.28
  6. Step 6: Final answer
    x = 476.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.