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Finding the Fourth Proportional to 928.16, 1,390.64 and 652.96

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Solution

The fourth proportional to 928.16, 1,390.64 and 652.96 is: 978.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.16 : 1,390.64 = 652.96 : x
  2. Step 2: Convert to fraction form
    928.16/1,390.64 = 652.96/x
  3. Step 3: Cross multiply
    928.16x = 1,390.64 × 652.96
  4. Step 4: Simplify right side
    928.16x = 908,032.29
  5. Step 5: Solve for x
    x = 908,032.29/928.16
  6. Step 6: Final answer
    x = 978.31

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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.