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Finding the Fourth Proportional to 978.21, 1,465.74 and 669.02

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Solution

The fourth proportional to 978.21, 1,465.74 and 669.02 is: 1,002.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.21 : 1,465.74 = 669.02 : x
  2. Step 2: Convert to fraction form
    978.21/1,465.74 = 669.02/x
  3. Step 3: Cross multiply
    978.21x = 1,465.74 × 669.02
  4. Step 4: Simplify right side
    978.21x = 980,602.05
  5. Step 5: Solve for x
    x = 980,602.05/978.21
  6. Step 6: Final answer
    x = 1,002.45

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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.