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Finding the Fourth Proportional to 565.60, 841.16 and 522.40

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Solution

The fourth proportional to 565.60, 841.16 and 522.40 is: 776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.60 : 841.16 = 522.40 : x
  2. Step 2: Convert to fraction form
    565.60/841.16 = 522.40/x
  3. Step 3: Cross multiply
    565.60x = 841.16 × 522.40
  4. Step 4: Simplify right side
    565.60x = 439,421.98
  5. Step 5: Solve for x
    x = 439,421.98/565.60
  6. Step 6: Final answer
    x = 776.91

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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.