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Finding the Fourth Proportional to 1,562.04, 2,155.46 and 898.76

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Solution

The fourth proportional to 1,562.04, 2,155.46 and 898.76 is: 1,240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.04 : 2,155.46 = 898.76 : x
  2. Step 2: Convert to fraction form
    1,562.04/2,155.46 = 898.76/x
  3. Step 3: Cross multiply
    1,562.04x = 2,155.46 × 898.76
  4. Step 4: Simplify right side
    1,562.04x = 1,937,242.12
  5. Step 5: Solve for x
    x = 1,937,242.12/1,562.04
  6. Step 6: Final answer
    x = 1,240.20

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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.