Home / 1,580.18-2,370.29-702.23

Finding the Fourth Proportional to 1,580.18, 2,370.29 and 702.23

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Solution

The fourth proportional to 1,580.18, 2,370.29 and 702.23 is: 1,053.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.18 : 2,370.29 = 702.23 : x
  2. Step 2: Convert to fraction form
    1,580.18/2,370.29 = 702.23/x
  3. Step 3: Cross multiply
    1,580.18x = 2,370.29 × 702.23
  4. Step 4: Simplify right side
    1,580.18x = 1,664,473.38
  5. Step 5: Solve for x
    x = 1,664,473.38/1,580.18
  6. Step 6: Final answer
    x = 1,053.35

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1.5x scale

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.