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Finding the Fourth Proportional to 651.65, 977.58 and 304.97

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Solution

The fourth proportional to 651.65, 977.58 and 304.97 is: 457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.65 : 977.58 = 304.97 : x
  2. Step 2: Convert to fraction form
    651.65/977.58 = 304.97/x
  3. Step 3: Cross multiply
    651.65x = 977.58 × 304.97
  4. Step 4: Simplify right side
    651.65x = 298,135.02
  5. Step 5: Solve for x
    x = 298,135.02/651.65
  6. Step 6: Final answer
    x = 457.51

Related Problems

Find fourth proportional to 325.83, 488.79 and 152.49
Half scale
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Double scale
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Similar ratio
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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.