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Finding the Fourth Proportional to 1,457.60, 2,009.13 and 985.34

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Solution

The fourth proportional to 1,457.60, 2,009.13 and 985.34 is: 1,358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.60 : 2,009.13 = 985.34 : x
  2. Step 2: Convert to fraction form
    1,457.60/2,009.13 = 985.34/x
  3. Step 3: Cross multiply
    1,457.60x = 2,009.13 × 985.34
  4. Step 4: Simplify right side
    1,457.60x = 1,979,666.11
  5. Step 5: Solve for x
    x = 1,979,666.11/1,457.60
  6. Step 6: Final answer
    x = 1,358.17

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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.