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Finding the Fourth Proportional to 946.95, 1,421.29 and 485.05

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Solution

The fourth proportional to 946.95, 1,421.29 and 485.05 is: 728.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.95 : 1,421.29 = 485.05 : x
  2. Step 2: Convert to fraction form
    946.95/1,421.29 = 485.05/x
  3. Step 3: Cross multiply
    946.95x = 1,421.29 × 485.05
  4. Step 4: Simplify right side
    946.95x = 689,396.71
  5. Step 5: Solve for x
    x = 689,396.71/946.95
  6. Step 6: Final answer
    x = 728.02

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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.