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Finding the Fourth Proportional to 1,031.61, 1,541.53 and 783.45

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Solution

The fourth proportional to 1,031.61, 1,541.53 and 783.45 is: 1,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.61 : 1,541.53 = 783.45 : x
  2. Step 2: Convert to fraction form
    1,031.61/1,541.53 = 783.45/x
  3. Step 3: Cross multiply
    1,031.61x = 1,541.53 × 783.45
  4. Step 4: Simplify right side
    1,031.61x = 1,207,708.32
  5. Step 5: Solve for x
    x = 1,207,708.32/1,031.61
  6. Step 6: Final answer
    x = 1,170.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.