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Finding the Fourth Proportional to 948.84, 1,412.10 and 914.28

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Solution

The fourth proportional to 948.84, 1,412.10 and 914.28 is: 1,360.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.84 : 1,412.10 = 914.28 : x
  2. Step 2: Convert to fraction form
    948.84/1,412.10 = 914.28/x
  3. Step 3: Cross multiply
    948.84x = 1,412.10 × 914.28
  4. Step 4: Simplify right side
    948.84x = 1,291,054.79
  5. Step 5: Solve for x
    x = 1,291,054.79/948.84
  6. Step 6: Final answer
    x = 1,360.67

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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.