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Finding the Fourth Proportional to 977.47, 1,466.20 and 515.16

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Solution

The fourth proportional to 977.47, 1,466.20 and 515.16 is: 772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.47 : 1,466.20 = 515.16 : x
  2. Step 2: Convert to fraction form
    977.47/1,466.20 = 515.16/x
  3. Step 3: Cross multiply
    977.47x = 1,466.20 × 515.16
  4. Step 4: Simplify right side
    977.47x = 755,328.24
  5. Step 5: Solve for x
    x = 755,328.24/977.47
  6. Step 6: Final answer
    x = 772.74

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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.