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Finding the Fourth Proportional to 977.34, 1,465.56 and 429.98

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Solution

The fourth proportional to 977.34, 1,465.56 and 429.98 is: 644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.34 : 1,465.56 = 429.98 : x
  2. Step 2: Convert to fraction form
    977.34/1,465.56 = 429.98/x
  3. Step 3: Cross multiply
    977.34x = 1,465.56 × 429.98
  4. Step 4: Simplify right side
    977.34x = 630,161.49
  5. Step 5: Solve for x
    x = 630,161.49/977.34
  6. Step 6: Final answer
    x = 644.77

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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.