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Finding the Fourth Proportional to 555.95, 830.40 and 464.76

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Solution

The fourth proportional to 555.95, 830.40 and 464.76 is: 694.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.95 : 830.40 = 464.76 : x
  2. Step 2: Convert to fraction form
    555.95/830.40 = 464.76/x
  3. Step 3: Cross multiply
    555.95x = 830.40 × 464.76
  4. Step 4: Simplify right side
    555.95x = 385,936.70
  5. Step 5: Solve for x
    x = 385,936.70/555.95
  6. Step 6: Final answer
    x = 694.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.