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Finding the Fourth Proportional to 904.10, 1,354.80 and 766.40

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Solution

The fourth proportional to 904.10, 1,354.80 and 766.40 is: 1,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.10 : 1,354.80 = 766.40 : x
  2. Step 2: Convert to fraction form
    904.10/1,354.80 = 766.40/x
  3. Step 3: Cross multiply
    904.10x = 1,354.80 × 766.40
  4. Step 4: Simplify right side
    904.10x = 1,038,318.72
  5. Step 5: Solve for x
    x = 1,038,318.72/904.10
  6. Step 6: Final answer
    x = 1,148.46

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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.