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Finding the Fourth Proportional to 945.34, 1,304.54 and 595.69

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Solution

The fourth proportional to 945.34, 1,304.54 and 595.69 is: 822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.34 : 1,304.54 = 595.69 : x
  2. Step 2: Convert to fraction form
    945.34/1,304.54 = 595.69/x
  3. Step 3: Cross multiply
    945.34x = 1,304.54 × 595.69
  4. Step 4: Simplify right side
    945.34x = 777,097.43
  5. Step 5: Solve for x
    x = 777,097.43/945.34
  6. Step 6: Final answer
    x = 822.03

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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.