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Finding the Fourth Proportional to 1,698.65, 2,547.86 and 528.63

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Solution

The fourth proportional to 1,698.65, 2,547.86 and 528.63 is: 792.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.65 : 2,547.86 = 528.63 : x
  2. Step 2: Convert to fraction form
    1,698.65/2,547.86 = 528.63/x
  3. Step 3: Cross multiply
    1,698.65x = 2,547.86 × 528.63
  4. Step 4: Simplify right side
    1,698.65x = 1,346,875.23
  5. Step 5: Solve for x
    x = 1,346,875.23/1,698.65
  6. Step 6: Final answer
    x = 792.91

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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.