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Finding the Fourth Proportional to 897.39, 1,238.51 and 524.36

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Solution

The fourth proportional to 897.39, 1,238.51 and 524.36 is: 723.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.39 : 1,238.51 = 524.36 : x
  2. Step 2: Convert to fraction form
    897.39/1,238.51 = 524.36/x
  3. Step 3: Cross multiply
    897.39x = 1,238.51 × 524.36
  4. Step 4: Simplify right side
    897.39x = 649,429.51
  5. Step 5: Solve for x
    x = 649,429.51/897.39
  6. Step 6: Final answer
    x = 723.69

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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.