Home / 1,005.14-1,508.36-457.35

Finding the Fourth Proportional to 1,005.14, 1,508.36 and 457.35

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Solution

The fourth proportional to 1,005.14, 1,508.36 and 457.35 is: 686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.14 : 1,508.36 = 457.35 : x
  2. Step 2: Convert to fraction form
    1,005.14/1,508.36 = 457.35/x
  3. Step 3: Cross multiply
    1,005.14x = 1,508.36 × 457.35
  4. Step 4: Simplify right side
    1,005.14x = 689,848.45
  5. Step 5: Solve for x
    x = 689,848.45/1,005.14
  6. Step 6: Final answer
    x = 686.32

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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.