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Finding the Fourth Proportional to 945.88, 1,417.10 and 598.39

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Solution

The fourth proportional to 945.88, 1,417.10 and 598.39 is: 896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.88 : 1,417.10 = 598.39 : x
  2. Step 2: Convert to fraction form
    945.88/1,417.10 = 598.39/x
  3. Step 3: Cross multiply
    945.88x = 1,417.10 × 598.39
  4. Step 4: Simplify right side
    945.88x = 847,971.93
  5. Step 5: Solve for x
    x = 847,971.93/945.88
  6. Step 6: Final answer
    x = 896.49

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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.