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Finding the Fourth Proportional to 868.98, 1,303.70 and 430.36

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Solution

The fourth proportional to 868.98, 1,303.70 and 430.36 is: 645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.98 : 1,303.70 = 430.36 : x
  2. Step 2: Convert to fraction form
    868.98/1,303.70 = 430.36/x
  3. Step 3: Cross multiply
    868.98x = 1,303.70 × 430.36
  4. Step 4: Simplify right side
    868.98x = 561,060.33
  5. Step 5: Solve for x
    x = 561,060.33/868.98
  6. Step 6: Final answer
    x = 645.65

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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.