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Finding the Fourth Proportional to 977.06, 1,465.62 and 428.96

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Solution

The fourth proportional to 977.06, 1,465.62 and 428.96 is: 643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.06 : 1,465.62 = 428.96 : x
  2. Step 2: Convert to fraction form
    977.06/1,465.62 = 428.96/x
  3. Step 3: Cross multiply
    977.06x = 1,465.62 × 428.96
  4. Step 4: Simplify right side
    977.06x = 628,692.36
  5. Step 5: Solve for x
    x = 628,692.36/977.06
  6. Step 6: Final answer
    x = 643.45

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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.