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Finding the Fourth Proportional to 985.03, 1,477.14 and 291.45

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Solution

The fourth proportional to 985.03, 1,477.14 and 291.45 is: 437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.03 : 1,477.14 = 291.45 : x
  2. Step 2: Convert to fraction form
    985.03/1,477.14 = 291.45/x
  3. Step 3: Cross multiply
    985.03x = 1,477.14 × 291.45
  4. Step 4: Simplify right side
    985.03x = 430,512.45
  5. Step 5: Solve for x
    x = 430,512.45/985.03
  6. Step 6: Final answer
    x = 437.06

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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.