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Finding the Fourth Proportional to 975.79, 1,462.90 and 666.87

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Solution

The fourth proportional to 975.79, 1,462.90 and 666.87 is: 999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.79 : 1,462.90 = 666.87 : x
  2. Step 2: Convert to fraction form
    975.79/1,462.90 = 666.87/x
  3. Step 3: Cross multiply
    975.79x = 1,462.90 × 666.87
  4. Step 4: Simplify right side
    975.79x = 975,564.12
  5. Step 5: Solve for x
    x = 975,564.12/975.79
  6. Step 6: Final answer
    x = 999.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.