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Finding the Fourth Proportional to 610.16, 916.26 and 380.40

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Solution

The fourth proportional to 610.16, 916.26 and 380.40 is: 571.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.16 : 916.26 = 380.40 : x
  2. Step 2: Convert to fraction form
    610.16/916.26 = 380.40/x
  3. Step 3: Cross multiply
    610.16x = 916.26 × 380.40
  4. Step 4: Simplify right side
    610.16x = 348,545.30
  5. Step 5: Solve for x
    x = 348,545.30/610.16
  6. Step 6: Final answer
    x = 571.24

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1.5x scale

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.