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Finding the Fourth Proportional to 703.66, 1,056.50 and 430.29

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Solution

The fourth proportional to 703.66, 1,056.50 and 430.29 is: 646.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.66 : 1,056.50 = 430.29 : x
  2. Step 2: Convert to fraction form
    703.66/1,056.50 = 430.29/x
  3. Step 3: Cross multiply
    703.66x = 1,056.50 × 430.29
  4. Step 4: Simplify right side
    703.66x = 454,601.39
  5. Step 5: Solve for x
    x = 454,601.39/703.66
  6. Step 6: Final answer
    x = 646.05

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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.