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Finding the Fourth Proportional to 1,624.34, 2,437.56 and 802.64

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Solution

The fourth proportional to 1,624.34, 2,437.56 and 802.64 is: 1,204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.34 : 2,437.56 = 802.64 : x
  2. Step 2: Convert to fraction form
    1,624.34/2,437.56 = 802.64/x
  3. Step 3: Cross multiply
    1,624.34x = 2,437.56 × 802.64
  4. Step 4: Simplify right side
    1,624.34x = 1,956,483.16
  5. Step 5: Solve for x
    x = 1,956,483.16/1,624.34
  6. Step 6: Final answer
    x = 1,204.48

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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.