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Finding the Fourth Proportional to 1,017.76, 1,526.67 and 368.47

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Solution

The fourth proportional to 1,017.76, 1,526.67 and 368.47 is: 552.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.76 : 1,526.67 = 368.47 : x
  2. Step 2: Convert to fraction form
    1,017.76/1,526.67 = 368.47/x
  3. Step 3: Cross multiply
    1,017.76x = 1,526.67 × 368.47
  4. Step 4: Simplify right side
    1,017.76x = 562,530.25
  5. Step 5: Solve for x
    x = 562,530.25/1,017.76
  6. Step 6: Final answer
    x = 552.72

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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.