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Finding the Fourth Proportional to 1,408.90, 2,113.24 and 435.01

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Solution

The fourth proportional to 1,408.90, 2,113.24 and 435.01 is: 652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.90 : 2,113.24 = 435.01 : x
  2. Step 2: Convert to fraction form
    1,408.90/2,113.24 = 435.01/x
  3. Step 3: Cross multiply
    1,408.90x = 2,113.24 × 435.01
  4. Step 4: Simplify right side
    1,408.90x = 919,280.53
  5. Step 5: Solve for x
    x = 919,280.53/1,408.90
  6. Step 6: Final answer
    x = 652.48

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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.