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Finding the Fourth Proportional to 945.77, 1,416.23 and 579.45

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Solution

The fourth proportional to 945.77, 1,416.23 and 579.45 is: 867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.77 : 1,416.23 = 579.45 : x
  2. Step 2: Convert to fraction form
    945.77/1,416.23 = 579.45/x
  3. Step 3: Cross multiply
    945.77x = 1,416.23 × 579.45
  4. Step 4: Simplify right side
    945.77x = 820,628.04
  5. Step 5: Solve for x
    x = 820,628.04/945.77
  6. Step 6: Final answer
    x = 867.68

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1.5x scale

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.