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Finding the Fourth Proportional to 973.61, 1,458.16 and 485.09

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Solution

The fourth proportional to 973.61, 1,458.16 and 485.09 is: 726.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.61 : 1,458.16 = 485.09 : x
  2. Step 2: Convert to fraction form
    973.61/1,458.16 = 485.09/x
  3. Step 3: Cross multiply
    973.61x = 1,458.16 × 485.09
  4. Step 4: Simplify right side
    973.61x = 707,338.83
  5. Step 5: Solve for x
    x = 707,338.83/973.61
  6. Step 6: Final answer
    x = 726.51

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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.