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Finding the Fourth Proportional to 1,031.19, 1,547.32 and 446.03

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Solution

The fourth proportional to 1,031.19, 1,547.32 and 446.03 is: 669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.19 : 1,547.32 = 446.03 : x
  2. Step 2: Convert to fraction form
    1,031.19/1,547.32 = 446.03/x
  3. Step 3: Cross multiply
    1,031.19x = 1,547.32 × 446.03
  4. Step 4: Simplify right side
    1,031.19x = 690,151.14
  5. Step 5: Solve for x
    x = 690,151.14/1,031.19
  6. Step 6: Final answer
    x = 669.28

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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.