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Finding the Fourth Proportional to 1,557.19, 2,335.80 and 907.51

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Solution

The fourth proportional to 1,557.19, 2,335.80 and 907.51 is: 1,361.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.19 : 2,335.80 = 907.51 : x
  2. Step 2: Convert to fraction form
    1,557.19/2,335.80 = 907.51/x
  3. Step 3: Cross multiply
    1,557.19x = 2,335.80 × 907.51
  4. Step 4: Simplify right side
    1,557.19x = 2,119,761.86
  5. Step 5: Solve for x
    x = 2,119,761.86/1,557.19
  6. Step 6: Final answer
    x = 1,361.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.