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Finding the Fourth Proportional to 1,699, 2,547.36 and 711.55

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Solution

The fourth proportional to 1,699, 2,547.36 and 711.55 is: 1,066.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699 : 2,547.36 = 711.55 : x
  2. Step 2: Convert to fraction form
    1,699/2,547.36 = 711.55/x
  3. Step 3: Cross multiply
    1,699x = 2,547.36 × 711.55
  4. Step 4: Simplify right side
    1,699x = 1,812,574.01
  5. Step 5: Solve for x
    x = 1,812,574.01/1,699
  6. Step 6: Final answer
    x = 1,066.85

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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.