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Finding the Fourth Proportional to 654.75, 903.15 and 524.07

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Solution

The fourth proportional to 654.75, 903.15 and 524.07 is: 722.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.75 : 903.15 = 524.07 : x
  2. Step 2: Convert to fraction form
    654.75/903.15 = 524.07/x
  3. Step 3: Cross multiply
    654.75x = 903.15 × 524.07
  4. Step 4: Simplify right side
    654.75x = 473,313.82
  5. Step 5: Solve for x
    x = 473,313.82/654.75
  6. Step 6: Final answer
    x = 722.89

Related Problems

Find fourth proportional to 327.38, 451.58 and 262.04
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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.