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Finding the Fourth Proportional to 1,031.04, 1,547.68 and 415.16

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Solution

The fourth proportional to 1,031.04, 1,547.68 and 415.16 is: 623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.04 : 1,547.68 = 415.16 : x
  2. Step 2: Convert to fraction form
    1,031.04/1,547.68 = 415.16/x
  3. Step 3: Cross multiply
    1,031.04x = 1,547.68 × 415.16
  4. Step 4: Simplify right side
    1,031.04x = 642,534.83
  5. Step 5: Solve for x
    x = 642,534.83/1,031.04
  6. Step 6: Final answer
    x = 623.19

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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.