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Finding the Fourth Proportional to 1,032.05, 1,547.83 and 615.70

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Solution

The fourth proportional to 1,032.05, 1,547.83 and 615.70 is: 923.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.05 : 1,547.83 = 615.70 : x
  2. Step 2: Convert to fraction form
    1,032.05/1,547.83 = 615.70/x
  3. Step 3: Cross multiply
    1,032.05x = 1,547.83 × 615.70
  4. Step 4: Simplify right side
    1,032.05x = 952,988.11
  5. Step 5: Solve for x
    x = 952,988.11/1,032.05
  6. Step 6: Final answer
    x = 923.40

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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.