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Finding the Fourth Proportional to 643.48, 958.58 and 603.64

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Solution

The fourth proportional to 643.48, 958.58 and 603.64 is: 899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.48 : 958.58 = 603.64 : x
  2. Step 2: Convert to fraction form
    643.48/958.58 = 603.64/x
  3. Step 3: Cross multiply
    643.48x = 958.58 × 603.64
  4. Step 4: Simplify right side
    643.48x = 578,637.23
  5. Step 5: Solve for x
    x = 578,637.23/643.48
  6. Step 6: Final answer
    x = 899.23

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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.