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Finding the Fourth Proportional to 654.69, 903.51 and 458.67

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Solution

The fourth proportional to 654.69, 903.51 and 458.67 is: 632.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.69 : 903.51 = 458.67 : x
  2. Step 2: Convert to fraction form
    654.69/903.51 = 458.67/x
  3. Step 3: Cross multiply
    654.69x = 903.51 × 458.67
  4. Step 4: Simplify right side
    654.69x = 414,412.93
  5. Step 5: Solve for x
    x = 414,412.93/654.69
  6. Step 6: Final answer
    x = 632.99

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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.