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Finding the Fourth Proportional to 1,000.92, 1,492.55 and 931.66

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Solution

The fourth proportional to 1,000.92, 1,492.55 and 931.66 is: 1,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.92 : 1,492.55 = 931.66 : x
  2. Step 2: Convert to fraction form
    1,000.92/1,492.55 = 931.66/x
  3. Step 3: Cross multiply
    1,000.92x = 1,492.55 × 931.66
  4. Step 4: Simplify right side
    1,000.92x = 1,390,549.13
  5. Step 5: Solve for x
    x = 1,390,549.13/1,000.92
  6. Step 6: Final answer
    x = 1,389.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.