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Finding the Fourth Proportional to 869.32, 1,303.55 and 430.06

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Solution

The fourth proportional to 869.32, 1,303.55 and 430.06 is: 644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.32 : 1,303.55 = 430.06 : x
  2. Step 2: Convert to fraction form
    869.32/1,303.55 = 430.06/x
  3. Step 3: Cross multiply
    869.32x = 1,303.55 × 430.06
  4. Step 4: Simplify right side
    869.32x = 560,603.64
  5. Step 5: Solve for x
    x = 560,603.64/869.32
  6. Step 6: Final answer
    x = 644.88

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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.