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Finding the Fourth Proportional to 977.52, 1,466.45 and 430.09

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Solution

The fourth proportional to 977.52, 1,466.45 and 430.09 is: 645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.52 : 1,466.45 = 430.09 : x
  2. Step 2: Convert to fraction form
    977.52/1,466.45 = 430.09/x
  3. Step 3: Cross multiply
    977.52x = 1,466.45 × 430.09
  4. Step 4: Simplify right side
    977.52x = 630,705.48
  5. Step 5: Solve for x
    x = 630,705.48/977.52
  6. Step 6: Final answer
    x = 645.21

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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.