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Finding the Fourth Proportional to 440.84, 657.93 and 429.32

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Solution

The fourth proportional to 440.84, 657.93 and 429.32 is: 640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.84 : 657.93 = 429.32 : x
  2. Step 2: Convert to fraction form
    440.84/657.93 = 429.32/x
  3. Step 3: Cross multiply
    440.84x = 657.93 × 429.32
  4. Step 4: Simplify right side
    440.84x = 282,462.51
  5. Step 5: Solve for x
    x = 282,462.51/440.84
  6. Step 6: Final answer
    x = 640.74

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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.