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Finding the Fourth Proportional to 1,164.48, 1,607.29 and 686.35

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Solution

The fourth proportional to 1,164.48, 1,607.29 and 686.35 is: 947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.48 : 1,607.29 = 686.35 : x
  2. Step 2: Convert to fraction form
    1,164.48/1,607.29 = 686.35/x
  3. Step 3: Cross multiply
    1,164.48x = 1,607.29 × 686.35
  4. Step 4: Simplify right side
    1,164.48x = 1,103,163.12
  5. Step 5: Solve for x
    x = 1,103,163.12/1,164.48
  6. Step 6: Final answer
    x = 947.35

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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.