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Finding the Fourth Proportional to 945.48, 1,304.70 and 525.84

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Solution

The fourth proportional to 945.48, 1,304.70 and 525.84 is: 725.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.48 : 1,304.70 = 525.84 : x
  2. Step 2: Convert to fraction form
    945.48/1,304.70 = 525.84/x
  3. Step 3: Cross multiply
    945.48x = 1,304.70 × 525.84
  4. Step 4: Simplify right side
    945.48x = 686,063.45
  5. Step 5: Solve for x
    x = 686,063.45/945.48
  6. Step 6: Final answer
    x = 725.62

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Double scale
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1.5x scale

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.