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Finding the Fourth Proportional to 651.65, 977.53 and 300.25

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Solution

The fourth proportional to 651.65, 977.53 and 300.25 is: 450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.65 : 977.53 = 300.25 : x
  2. Step 2: Convert to fraction form
    651.65/977.53 = 300.25/x
  3. Step 3: Cross multiply
    651.65x = 977.53 × 300.25
  4. Step 4: Simplify right side
    651.65x = 293,500.19
  5. Step 5: Solve for x
    x = 293,500.19/651.65
  6. Step 6: Final answer
    x = 450.40

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1.5x scale

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.