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Finding the Fourth Proportional to 1,620.45, 2,430.90 and 525.15

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Solution

The fourth proportional to 1,620.45, 2,430.90 and 525.15 is: 787.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.45 : 2,430.90 = 525.15 : x
  2. Step 2: Convert to fraction form
    1,620.45/2,430.90 = 525.15/x
  3. Step 3: Cross multiply
    1,620.45x = 2,430.90 × 525.15
  4. Step 4: Simplify right side
    1,620.45x = 1,276,587.14
  5. Step 5: Solve for x
    x = 1,276,587.14/1,620.45
  6. Step 6: Final answer
    x = 787.80

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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.