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Finding the Fourth Proportional to 630.42, 870.63 and 507.78

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Solution

The fourth proportional to 630.42, 870.63 and 507.78 is: 701.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.42 : 870.63 = 507.78 : x
  2. Step 2: Convert to fraction form
    630.42/870.63 = 507.78/x
  3. Step 3: Cross multiply
    630.42x = 870.63 × 507.78
  4. Step 4: Simplify right side
    630.42x = 442,088.50
  5. Step 5: Solve for x
    x = 442,088.50/630.42
  6. Step 6: Final answer
    x = 701.26

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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.