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Finding the Fourth Proportional to 985.02, 1,477.53 and 291.69

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Solution

The fourth proportional to 985.02, 1,477.53 and 291.69 is: 437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.02 : 1,477.53 = 291.69 : x
  2. Step 2: Convert to fraction form
    985.02/1,477.53 = 291.69/x
  3. Step 3: Cross multiply
    985.02x = 1,477.53 × 291.69
  4. Step 4: Simplify right side
    985.02x = 430,980.73
  5. Step 5: Solve for x
    x = 430,980.73/985.02
  6. Step 6: Final answer
    x = 437.54

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Double scale
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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.