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Finding the Fourth Proportional to 977.23, 1,464.01 and 483.06

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Solution

The fourth proportional to 977.23, 1,464.01 and 483.06 is: 723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.23 : 1,464.01 = 483.06 : x
  2. Step 2: Convert to fraction form
    977.23/1,464.01 = 483.06/x
  3. Step 3: Cross multiply
    977.23x = 1,464.01 × 483.06
  4. Step 4: Simplify right side
    977.23x = 707,202.26
  5. Step 5: Solve for x
    x = 707,202.26/977.23
  6. Step 6: Final answer
    x = 723.68

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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.