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Finding the Fourth Proportional to 1,557.45, 2,332.35 and 906.21

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Solution

The fourth proportional to 1,557.45, 2,332.35 and 906.21 is: 1,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.45 : 2,332.35 = 906.21 : x
  2. Step 2: Convert to fraction form
    1,557.45/2,332.35 = 906.21/x
  3. Step 3: Cross multiply
    1,557.45x = 2,332.35 × 906.21
  4. Step 4: Simplify right side
    1,557.45x = 2,113,598.89
  5. Step 5: Solve for x
    x = 2,113,598.89/1,557.45
  6. Step 6: Final answer
    x = 1,357.09

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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.