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Finding the Fourth Proportional to 973.48, 1,458.22 and 647.80

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Solution

The fourth proportional to 973.48, 1,458.22 and 647.80 is: 970.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.48 : 1,458.22 = 647.80 : x
  2. Step 2: Convert to fraction form
    973.48/1,458.22 = 647.80/x
  3. Step 3: Cross multiply
    973.48x = 1,458.22 × 647.80
  4. Step 4: Simplify right side
    973.48x = 944,634.92
  5. Step 5: Solve for x
    x = 944,634.92/973.48
  6. Step 6: Final answer
    x = 970.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.