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Finding the Fourth Proportional to 975.66, 1,464.07 and 350.90

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Solution

The fourth proportional to 975.66, 1,464.07 and 350.90 is: 526.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.66 : 1,464.07 = 350.90 : x
  2. Step 2: Convert to fraction form
    975.66/1,464.07 = 350.90/x
  3. Step 3: Cross multiply
    975.66x = 1,464.07 × 350.90
  4. Step 4: Simplify right side
    975.66x = 513,742.16
  5. Step 5: Solve for x
    x = 513,742.16/975.66
  6. Step 6: Final answer
    x = 526.56

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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.