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Finding the Fourth Proportional to 1,178, 1,624.52 and 705.82

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Solution

The fourth proportional to 1,178, 1,624.52 and 705.82 is: 973.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178 : 1,624.52 = 705.82 : x
  2. Step 2: Convert to fraction form
    1,178/1,624.52 = 705.82/x
  3. Step 3: Cross multiply
    1,178x = 1,624.52 × 705.82
  4. Step 4: Simplify right side
    1,178x = 1,146,618.71
  5. Step 5: Solve for x
    x = 1,146,618.71/1,178
  6. Step 6: Final answer
    x = 973.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.