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Finding the Fourth Proportional to 1,259.52, 1,888.68 and 437.68

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Solution

The fourth proportional to 1,259.52, 1,888.68 and 437.68 is: 656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.52 : 1,888.68 = 437.68 : x
  2. Step 2: Convert to fraction form
    1,259.52/1,888.68 = 437.68/x
  3. Step 3: Cross multiply
    1,259.52x = 1,888.68 × 437.68
  4. Step 4: Simplify right side
    1,259.52x = 826,646.26
  5. Step 5: Solve for x
    x = 826,646.26/1,259.52
  6. Step 6: Final answer
    x = 656.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.