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Finding the Fourth Proportional to 1,152.17, 1,590.15 and 703.95

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Solution

The fourth proportional to 1,152.17, 1,590.15 and 703.95 is: 971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.17 : 1,590.15 = 703.95 : x
  2. Step 2: Convert to fraction form
    1,152.17/1,590.15 = 703.95/x
  3. Step 3: Cross multiply
    1,152.17x = 1,590.15 × 703.95
  4. Step 4: Simplify right side
    1,152.17x = 1,119,386.09
  5. Step 5: Solve for x
    x = 1,119,386.09/1,152.17
  6. Step 6: Final answer
    x = 971.55

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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.