Home / 1,147.30-1,582.34-705.04

Finding the Fourth Proportional to 1,147.30, 1,582.34 and 705.04

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Solution

The fourth proportional to 1,147.30, 1,582.34 and 705.04 is: 972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.30 : 1,582.34 = 705.04 : x
  2. Step 2: Convert to fraction form
    1,147.30/1,582.34 = 705.04/x
  3. Step 3: Cross multiply
    1,147.30x = 1,582.34 × 705.04
  4. Step 4: Simplify right side
    1,147.30x = 1,115,605.51
  5. Step 5: Solve for x
    x = 1,115,605.51/1,147.30
  6. Step 6: Final answer
    x = 972.38

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1.5x scale

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.