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Finding the Fourth Proportional to 870.51, 1,201.12 and 551.58

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Solution

The fourth proportional to 870.51, 1,201.12 and 551.58 is: 761.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.51 : 1,201.12 = 551.58 : x
  2. Step 2: Convert to fraction form
    870.51/1,201.12 = 551.58/x
  3. Step 3: Cross multiply
    870.51x = 1,201.12 × 551.58
  4. Step 4: Simplify right side
    870.51x = 662,507.07
  5. Step 5: Solve for x
    x = 662,507.07/870.51
  6. Step 6: Final answer
    x = 761.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.