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Finding the Fourth Proportional to 975.45, 1,463.08 and 245.02

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Solution

The fourth proportional to 975.45, 1,463.08 and 245.02 is: 367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.45 : 1,463.08 = 245.02 : x
  2. Step 2: Convert to fraction form
    975.45/1,463.08 = 245.02/x
  3. Step 3: Cross multiply
    975.45x = 1,463.08 × 245.02
  4. Step 4: Simplify right side
    975.45x = 358,483.86
  5. Step 5: Solve for x
    x = 358,483.86/975.45
  6. Step 6: Final answer
    x = 367.51

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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.