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Finding the Fourth Proportional to 1,164.91, 1,607.47 and 686.28

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Solution

The fourth proportional to 1,164.91, 1,607.47 and 686.28 is: 947.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.91 : 1,607.47 = 686.28 : x
  2. Step 2: Convert to fraction form
    1,164.91/1,607.47 = 686.28/x
  3. Step 3: Cross multiply
    1,164.91x = 1,607.47 × 686.28
  4. Step 4: Simplify right side
    1,164.91x = 1,103,181.40
  5. Step 5: Solve for x
    x = 1,103,181.40/1,164.91
  6. Step 6: Final answer
    x = 947.01

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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.