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Finding the Fourth Proportional to 870.64, 1,201.88 and 576.08

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Solution

The fourth proportional to 870.64, 1,201.88 and 576.08 is: 795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.64 : 1,201.88 = 576.08 : x
  2. Step 2: Convert to fraction form
    870.64/1,201.88 = 576.08/x
  3. Step 3: Cross multiply
    870.64x = 1,201.88 × 576.08
  4. Step 4: Simplify right side
    870.64x = 692,379.03
  5. Step 5: Solve for x
    x = 692,379.03/870.64
  6. Step 6: Final answer
    x = 795.25

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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.