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Finding the Fourth Proportional to 945.79, 1,417.37 and 360.18

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Solution

The fourth proportional to 945.79, 1,417.37 and 360.18 is: 539.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.79 : 1,417.37 = 360.18 : x
  2. Step 2: Convert to fraction form
    945.79/1,417.37 = 360.18/x
  3. Step 3: Cross multiply
    945.79x = 1,417.37 × 360.18
  4. Step 4: Simplify right side
    945.79x = 510,506.53
  5. Step 5: Solve for x
    x = 510,506.53/945.79
  6. Step 6: Final answer
    x = 539.77

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.