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Finding the Fourth Proportional to 945.76, 1,303.74 and 665.08

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Solution

The fourth proportional to 945.76, 1,303.74 and 665.08 is: 916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.76 : 1,303.74 = 665.08 : x
  2. Step 2: Convert to fraction form
    945.76/1,303.74 = 665.08/x
  3. Step 3: Cross multiply
    945.76x = 1,303.74 × 665.08
  4. Step 4: Simplify right side
    945.76x = 867,091.40
  5. Step 5: Solve for x
    x = 867,091.40/945.76
  6. Step 6: Final answer
    x = 916.82

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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.