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Finding the Fourth Proportional to 948.79, 1,415.03 and 931.51

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Solution

The fourth proportional to 948.79, 1,415.03 and 931.51 is: 1,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.79 : 1,415.03 = 931.51 : x
  2. Step 2: Convert to fraction form
    948.79/1,415.03 = 931.51/x
  3. Step 3: Cross multiply
    948.79x = 1,415.03 × 931.51
  4. Step 4: Simplify right side
    948.79x = 1,318,114.60
  5. Step 5: Solve for x
    x = 1,318,114.60/948.79
  6. Step 6: Final answer
    x = 1,389.26

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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.