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Finding the Fourth Proportional to 945.64, 1,417.43 and 482.76

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Solution

The fourth proportional to 945.64, 1,417.43 and 482.76 is: 723.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.64 : 1,417.43 = 482.76 : x
  2. Step 2: Convert to fraction form
    945.64/1,417.43 = 482.76/x
  3. Step 3: Cross multiply
    945.64x = 1,417.43 × 482.76
  4. Step 4: Simplify right side
    945.64x = 684,279.71
  5. Step 5: Solve for x
    x = 684,279.71/945.64
  6. Step 6: Final answer
    x = 723.61

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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.