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Finding the Fourth Proportional to 870.24, 1,201.34 and 555.84

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Solution

The fourth proportional to 870.24, 1,201.34 and 555.84 is: 767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.24 : 1,201.34 = 555.84 : x
  2. Step 2: Convert to fraction form
    870.24/1,201.34 = 555.84/x
  3. Step 3: Cross multiply
    870.24x = 1,201.34 × 555.84
  4. Step 4: Simplify right side
    870.24x = 667,752.83
  5. Step 5: Solve for x
    x = 667,752.83/870.24
  6. Step 6: Final answer
    x = 767.32

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1.5x scale

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.