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Finding the Fourth Proportional to 977.27, 1,465.65 and 429.35

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Solution

The fourth proportional to 977.27, 1,465.65 and 429.35 is: 643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.27 : 1,465.65 = 429.35 : x
  2. Step 2: Convert to fraction form
    977.27/1,465.65 = 429.35/x
  3. Step 3: Cross multiply
    977.27x = 1,465.65 × 429.35
  4. Step 4: Simplify right side
    977.27x = 629,269.50
  5. Step 5: Solve for x
    x = 629,269.50/977.27
  6. Step 6: Final answer
    x = 643.91

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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.