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Finding the Fourth Proportional to 1,156.48, 1,595.93 and 632.51

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Solution

The fourth proportional to 1,156.48, 1,595.93 and 632.51 is: 872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.48 : 1,595.93 = 632.51 : x
  2. Step 2: Convert to fraction form
    1,156.48/1,595.93 = 632.51/x
  3. Step 3: Cross multiply
    1,156.48x = 1,595.93 × 632.51
  4. Step 4: Simplify right side
    1,156.48x = 1,009,441.68
  5. Step 5: Solve for x
    x = 1,009,441.68/1,156.48
  6. Step 6: Final answer
    x = 872.86

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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.