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Finding the Fourth Proportional to 1,500.57, 2,070.90 and 837.45

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Solution

The fourth proportional to 1,500.57, 2,070.90 and 837.45 is: 1,155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.57 : 2,070.90 = 837.45 : x
  2. Step 2: Convert to fraction form
    1,500.57/2,070.90 = 837.45/x
  3. Step 3: Cross multiply
    1,500.57x = 2,070.90 × 837.45
  4. Step 4: Simplify right side
    1,500.57x = 1,734,275.21
  5. Step 5: Solve for x
    x = 1,734,275.21/1,500.57
  6. Step 6: Final answer
    x = 1,155.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.