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Finding the Fourth Proportional to 705.30, 1,056.63 and 590.49

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Solution

The fourth proportional to 705.30, 1,056.63 and 590.49 is: 884.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.30 : 1,056.63 = 590.49 : x
  2. Step 2: Convert to fraction form
    705.30/1,056.63 = 590.49/x
  3. Step 3: Cross multiply
    705.30x = 1,056.63 × 590.49
  4. Step 4: Simplify right side
    705.30x = 623,929.45
  5. Step 5: Solve for x
    x = 623,929.45/705.30
  6. Step 6: Final answer
    x = 884.63

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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.