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Finding the Fourth Proportional to 645.42, 962.75 and 583.13

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Solution

The fourth proportional to 645.42, 962.75 and 583.13 is: 869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.42 : 962.75 = 583.13 : x
  2. Step 2: Convert to fraction form
    645.42/962.75 = 583.13/x
  3. Step 3: Cross multiply
    645.42x = 962.75 × 583.13
  4. Step 4: Simplify right side
    645.42x = 561,406.28
  5. Step 5: Solve for x
    x = 561,406.28/645.42
  6. Step 6: Final answer
    x = 869.84

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.