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Finding the Fourth Proportional to 1,156.65, 1,594.53 and 714.30

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Solution

The fourth proportional to 1,156.65, 1,594.53 and 714.30 is: 984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.65 : 1,594.53 = 714.30 : x
  2. Step 2: Convert to fraction form
    1,156.65/1,594.53 = 714.30/x
  3. Step 3: Cross multiply
    1,156.65x = 1,594.53 × 714.30
  4. Step 4: Simplify right side
    1,156.65x = 1,138,972.78
  5. Step 5: Solve for x
    x = 1,138,972.78/1,156.65
  6. Step 6: Final answer
    x = 984.72

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1.5x scale

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.