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Finding the Fourth Proportional to 973.60, 1,457.70 and 485.44

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Solution

The fourth proportional to 973.60, 1,457.70 and 485.44 is: 726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.60 : 1,457.70 = 485.44 : x
  2. Step 2: Convert to fraction form
    973.60/1,457.70 = 485.44/x
  3. Step 3: Cross multiply
    973.60x = 1,457.70 × 485.44
  4. Step 4: Simplify right side
    973.60x = 707,625.89
  5. Step 5: Solve for x
    x = 707,625.89/973.60
  6. Step 6: Final answer
    x = 726.81

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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.