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Finding the Fourth Proportional to 985.83, 1,477.80 and 430.17

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Solution

The fourth proportional to 985.83, 1,477.80 and 430.17 is: 644.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.83 : 1,477.80 = 430.17 : x
  2. Step 2: Convert to fraction form
    985.83/1,477.80 = 430.17/x
  3. Step 3: Cross multiply
    985.83x = 1,477.80 × 430.17
  4. Step 4: Simplify right side
    985.83x = 635,705.23
  5. Step 5: Solve for x
    x = 635,705.23/985.83
  6. Step 6: Final answer
    x = 644.84

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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.