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Finding the Fourth Proportional to 1,570.79, 2,355.63 and 459.90

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Solution

The fourth proportional to 1,570.79, 2,355.63 and 459.90 is: 689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.79 : 2,355.63 = 459.90 : x
  2. Step 2: Convert to fraction form
    1,570.79/2,355.63 = 459.90/x
  3. Step 3: Cross multiply
    1,570.79x = 2,355.63 × 459.90
  4. Step 4: Simplify right side
    1,570.79x = 1,083,343.68
  5. Step 5: Solve for x
    x = 1,083,343.68/1,570.79
  6. Step 6: Final answer
    x = 689.68

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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.