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Finding the Fourth Proportional to 948.16, 1,416.74 and 742.24

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Solution

The fourth proportional to 948.16, 1,416.74 and 742.24 is: 1,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.16 : 1,416.74 = 742.24 : x
  2. Step 2: Convert to fraction form
    948.16/1,416.74 = 742.24/x
  3. Step 3: Cross multiply
    948.16x = 1,416.74 × 742.24
  4. Step 4: Simplify right side
    948.16x = 1,051,561.10
  5. Step 5: Solve for x
    x = 1,051,561.10/948.16
  6. Step 6: Final answer
    x = 1,109.05

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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.