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Finding the Fourth Proportional to 870.48, 1,199.52 and 607.68

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Solution

The fourth proportional to 870.48, 1,199.52 and 607.68 is: 837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.48 : 1,199.52 = 607.68 : x
  2. Step 2: Convert to fraction form
    870.48/1,199.52 = 607.68/x
  3. Step 3: Cross multiply
    870.48x = 1,199.52 × 607.68
  4. Step 4: Simplify right side
    870.48x = 728,924.31
  5. Step 5: Solve for x
    x = 728,924.31/870.48
  6. Step 6: Final answer
    x = 837.38

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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.