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Finding the Fourth Proportional to 948.74, 1,309.76 and 669.82

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Solution

The fourth proportional to 948.74, 1,309.76 and 669.82 is: 924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.74 : 1,309.76 = 669.82 : x
  2. Step 2: Convert to fraction form
    948.74/1,309.76 = 669.82/x
  3. Step 3: Cross multiply
    948.74x = 1,309.76 × 669.82
  4. Step 4: Simplify right side
    948.74x = 877,303.44
  5. Step 5: Solve for x
    x = 877,303.44/948.74
  6. Step 6: Final answer
    x = 924.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.