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Finding the Fourth Proportional to 912.89, 1,259.78 and 493.24

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Solution

The fourth proportional to 912.89, 1,259.78 and 493.24 is: 680.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.89 : 1,259.78 = 493.24 : x
  2. Step 2: Convert to fraction form
    912.89/1,259.78 = 493.24/x
  3. Step 3: Cross multiply
    912.89x = 1,259.78 × 493.24
  4. Step 4: Simplify right side
    912.89x = 621,373.07
  5. Step 5: Solve for x
    x = 621,373.07/912.89
  6. Step 6: Final answer
    x = 680.67

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Half scale
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Double scale
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1.5x scale

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.