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Finding the Fourth Proportional to 1,875.58, 2,813.35 and 705.53

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Solution

The fourth proportional to 1,875.58, 2,813.35 and 705.53 is: 1,058.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.58 : 2,813.35 = 705.53 : x
  2. Step 2: Convert to fraction form
    1,875.58/2,813.35 = 705.53/x
  3. Step 3: Cross multiply
    1,875.58x = 2,813.35 × 705.53
  4. Step 4: Simplify right side
    1,875.58x = 1,984,902.83
  5. Step 5: Solve for x
    x = 1,984,902.83/1,875.58
  6. Step 6: Final answer
    x = 1,058.29

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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.