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Finding the Fourth Proportional to 942.66, 1,406.02 and 888.45

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Solution

The fourth proportional to 942.66, 1,406.02 and 888.45 is: 1,325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.66 : 1,406.02 = 888.45 : x
  2. Step 2: Convert to fraction form
    942.66/1,406.02 = 888.45/x
  3. Step 3: Cross multiply
    942.66x = 1,406.02 × 888.45
  4. Step 4: Simplify right side
    942.66x = 1,249,178.47
  5. Step 5: Solve for x
    x = 1,249,178.47/942.66
  6. Step 6: Final answer
    x = 1,325.16

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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.