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Finding the Fourth Proportional to 1,459.35, 2,188.72 and 535.35

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Solution

The fourth proportional to 1,459.35, 2,188.72 and 535.35 is: 802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.35 : 2,188.72 = 535.35 : x
  2. Step 2: Convert to fraction form
    1,459.35/2,188.72 = 535.35/x
  3. Step 3: Cross multiply
    1,459.35x = 2,188.72 × 535.35
  4. Step 4: Simplify right side
    1,459.35x = 1,171,731.25
  5. Step 5: Solve for x
    x = 1,171,731.25/1,459.35
  6. Step 6: Final answer
    x = 802.91

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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.