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Finding the Fourth Proportional to 1,126.04, 1,688.76 and 476.36

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Solution

The fourth proportional to 1,126.04, 1,688.76 and 476.36 is: 714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.04 : 1,688.76 = 476.36 : x
  2. Step 2: Convert to fraction form
    1,126.04/1,688.76 = 476.36/x
  3. Step 3: Cross multiply
    1,126.04x = 1,688.76 × 476.36
  4. Step 4: Simplify right side
    1,126.04x = 804,457.71
  5. Step 5: Solve for x
    x = 804,457.71/1,126.04
  6. Step 6: Final answer
    x = 714.41

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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.