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Finding the Fourth Proportional to 651.24, 977.08 and 407.47

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Solution

The fourth proportional to 651.24, 977.08 and 407.47 is: 611.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.24 : 977.08 = 407.47 : x
  2. Step 2: Convert to fraction form
    651.24/977.08 = 407.47/x
  3. Step 3: Cross multiply
    651.24x = 977.08 × 407.47
  4. Step 4: Simplify right side
    651.24x = 398,130.79
  5. Step 5: Solve for x
    x = 398,130.79/651.24
  6. Step 6: Final answer
    x = 611.34

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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.