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Finding the Fourth Proportional to 948.10, 1,307.69 and 593.74

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Solution

The fourth proportional to 948.10, 1,307.69 and 593.74 is: 818.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.10 : 1,307.69 = 593.74 : x
  2. Step 2: Convert to fraction form
    948.10/1,307.69 = 593.74/x
  3. Step 3: Cross multiply
    948.10x = 1,307.69 × 593.74
  4. Step 4: Simplify right side
    948.10x = 776,427.86
  5. Step 5: Solve for x
    x = 776,427.86/948.10
  6. Step 6: Final answer
    x = 818.93

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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.